1545044180.214 * [misc]progress: [Phase 1 of 3] Setting up. 1545044180.214 * * * [misc]progress: [1/2] Preparing points 1545044180.214 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545044180.309 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.309 * * * * [misc]points: Sampling 210 additional inputs, on iter 1 have 46 / 256 1545044180.437 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.438 * * * * [misc]points: Sampling 157 additional inputs, on iter 2 have 99 / 256 1545044180.501 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.501 * * * * [misc]points: Sampling 108 additional inputs, on iter 3 have 148 / 256 1545044180.570 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.570 * * * * [misc]points: Sampling 79 additional inputs, on iter 4 have 177 / 256 1545044180.595 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.595 * * * * [misc]points: Sampling 60 additional inputs, on iter 5 have 196 / 256 1545044180.610 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.610 * * * * [misc]points: Sampling 45 additional inputs, on iter 6 have 211 / 256 1545044180.628 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.628 * * * * [misc]points: Sampling 36 additional inputs, on iter 7 have 220 / 256 1545044180.646 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.646 * * * * [misc]points: Sampling 30 additional inputs, on iter 8 have 226 / 256 1545044180.662 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.662 * * * * [misc]points: Sampling 23 additional inputs, on iter 9 have 233 / 256 1545044180.675 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.675 * * * * [misc]points: Sampling 18 additional inputs, on iter 10 have 238 / 256 1545044180.685 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.686 * * * * [misc]points: Sampling 16 additional inputs, on iter 11 have 240 / 256 1545044180.696 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.696 * * * * [misc]points: Sampling 12 additional inputs, on iter 12 have 244 / 256 1545044180.704 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.705 * * * * [misc]points: Sampling 9 additional inputs, on iter 13 have 247 / 256 1545044180.712 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.712 * * * * [misc]points: Sampling 6 additional inputs, on iter 14 have 250 / 256 1545044180.718 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044180.718 * * * * [misc]points: Sampling 6 additional inputs, on iter 15 have 250 / 256 1545044181.148 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044181.148 * * * * [misc]points: Sampling 6 additional inputs, on iter 16 have 250 / 256 1545044181.154 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044181.154 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 253 / 256 1545044181.164 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044181.165 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 255 / 256 1545044181.170 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044181.170 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1545044181.175 * * * * [misc]points: Filtering points with unrepresentable outputs 1545044181.175 * * * * [exit]points: Sampled 256 points with exact outputs 1545044181.175 * * * [misc]progress: [2/2] Setting up program. 1545044181.182 * [misc]progress: [Phase 2 of 3] Improving. 1545044181.182 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545044181.183 * * [misc]simplify: iters left: 6 (13 enodes) 1545044181.188 * * [misc]simplify: iters left: 5 (28 enodes) 1545044181.196 * * [misc]simplify: iters left: 4 (44 enodes) 1545044181.209 * * [misc]simplify: iters left: 3 (54 enodes) 1545044181.220 * * [misc]simplify: iters left: 2 (57 enodes) 1545044181.226 * * [misc]simplify: iters left: 1 (65 enodes) 1545044181.234 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545044181.242 * * [misc]progress: iteration 1 / 4 1545044181.242 * * * [misc]progress: picking best candidate 1545044181.249 * * * * [misc]pick: Picked # 1545044181.249 * * * [misc]progress: localizing error 1545044181.275 * * * [misc]progress: generating rewritten candidates 1545044181.275 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545044181.280 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1545044181.285 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545044181.301 * * * [misc]progress: generating series expansions 1545044181.301 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545044181.301 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545044181.301 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545044181.301 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545044181.301 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545044181.301 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545044181.301 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545044181.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.301 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545044181.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.301 * [misc]taylor: Taking taylor expansion of k in k 1545044181.301 * [misc]backup-simplify: Simplify 0 into 0 1545044181.301 * [misc]backup-simplify: Simplify 1 into 1 1545044181.301 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545044181.301 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545044181.301 * [misc]taylor: Taking taylor expansion of 2 in k 1545044181.301 * [misc]backup-simplify: Simplify 2 into 2 1545044181.301 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545044181.301 * [misc]taylor: Taking taylor expansion of n in k 1545044181.302 * [misc]backup-simplify: Simplify n into n 1545044181.302 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.302 * [misc]backup-simplify: Simplify PI into PI 1545044181.302 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545044181.302 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545044181.302 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545044181.302 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044181.302 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.303 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044181.303 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545044181.303 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545044181.303 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545044181.303 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545044181.303 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545044181.303 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545044181.303 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.303 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545044181.303 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.303 * [misc]taylor: Taking taylor expansion of k in n 1545044181.303 * [misc]backup-simplify: Simplify k into k 1545044181.303 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545044181.303 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545044181.303 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.303 * [misc]backup-simplify: Simplify 2 into 2 1545044181.303 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044181.303 * [misc]taylor: Taking taylor expansion of n in n 1545044181.303 * [misc]backup-simplify: Simplify 0 into 0 1545044181.303 * [misc]backup-simplify: Simplify 1 into 1 1545044181.303 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.303 * [misc]backup-simplify: Simplify PI into PI 1545044181.304 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044181.304 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545044181.305 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044181.305 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545044181.306 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.306 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545044181.306 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545044181.306 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545044181.306 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.307 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1545044181.308 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1545044181.308 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545044181.308 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545044181.308 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545044181.308 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545044181.308 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.308 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545044181.308 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.308 * [misc]taylor: Taking taylor expansion of k in n 1545044181.308 * [misc]backup-simplify: Simplify k into k 1545044181.308 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545044181.308 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545044181.308 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.308 * [misc]backup-simplify: Simplify 2 into 2 1545044181.308 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044181.308 * [misc]taylor: Taking taylor expansion of n in n 1545044181.308 * [misc]backup-simplify: Simplify 0 into 0 1545044181.308 * [misc]backup-simplify: Simplify 1 into 1 1545044181.308 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.308 * [misc]backup-simplify: Simplify PI into PI 1545044181.309 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044181.309 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545044181.309 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044181.310 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545044181.310 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.310 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545044181.310 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545044181.311 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545044181.311 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.312 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1545044181.312 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1545044181.312 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545044181.313 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545044181.313 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545044181.313 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.313 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545044181.313 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.313 * [misc]taylor: Taking taylor expansion of k in k 1545044181.313 * [misc]backup-simplify: Simplify 0 into 0 1545044181.313 * [misc]backup-simplify: Simplify 1 into 1 1545044181.313 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545044181.313 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044181.313 * [misc]taylor: Taking taylor expansion of n in k 1545044181.313 * [misc]backup-simplify: Simplify n into n 1545044181.313 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044181.313 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044181.313 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044181.313 * [misc]taylor: Taking taylor expansion of 2 in k 1545044181.313 * [misc]backup-simplify: Simplify 2 into 2 1545044181.313 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.313 * [misc]backup-simplify: Simplify PI into PI 1545044181.313 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.314 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.314 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044181.314 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.314 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044181.315 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.315 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545044181.316 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545044181.316 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545044181.318 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545044181.319 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545044181.322 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044181.322 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545044181.322 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.322 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.323 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.324 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545044181.325 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044181.325 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.325 * [misc]backup-simplify: Simplify 0 into 0 1545044181.325 * [misc]backup-simplify: Simplify 0 into 0 1545044181.326 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044181.327 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044181.329 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044181.329 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.330 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545044181.330 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044181.330 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044181.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545044181.332 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545044181.333 * [misc]backup-simplify: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545044181.335 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545044181.337 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545044181.340 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044181.341 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545044181.341 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.341 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.341 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.342 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545044181.343 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044181.343 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.343 * [misc]backup-simplify: Simplify 0 into 0 1545044181.343 * [misc]backup-simplify: Simplify 0 into 0 1545044181.343 * [misc]backup-simplify: Simplify 0 into 0 1545044181.344 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044181.345 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044181.348 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044181.348 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.348 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044181.348 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.348 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.349 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545044181.350 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1545044181.351 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1545044181.354 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 1545044181.354 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1545044181.355 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545044181.355 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545044181.355 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545044181.355 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545044181.355 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545044181.355 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.355 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044181.355 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.355 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044181.355 * [misc]taylor: Taking taylor expansion of k in k 1545044181.355 * [misc]backup-simplify: Simplify 0 into 0 1545044181.355 * [misc]backup-simplify: Simplify 1 into 1 1545044181.355 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044181.355 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545044181.355 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545044181.355 * [misc]taylor: Taking taylor expansion of 2 in k 1545044181.355 * [misc]backup-simplify: Simplify 2 into 2 1545044181.355 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545044181.355 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.355 * [misc]backup-simplify: Simplify PI into PI 1545044181.355 * [misc]taylor: Taking taylor expansion of n in k 1545044181.355 * [misc]backup-simplify: Simplify n into n 1545044181.355 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545044181.355 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545044181.355 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545044181.355 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044181.355 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044181.356 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044181.356 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545044181.356 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1545044181.356 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545044181.356 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545044181.356 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545044181.356 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545044181.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.356 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545044181.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.356 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044181.356 * [misc]taylor: Taking taylor expansion of k in n 1545044181.356 * [misc]backup-simplify: Simplify k into k 1545044181.356 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044181.356 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545044181.356 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545044181.356 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.356 * [misc]backup-simplify: Simplify 2 into 2 1545044181.356 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.356 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.356 * [misc]backup-simplify: Simplify PI into PI 1545044181.356 * [misc]taylor: Taking taylor expansion of n in n 1545044181.356 * [misc]backup-simplify: Simplify 0 into 0 1545044181.356 * [misc]backup-simplify: Simplify 1 into 1 1545044181.356 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.357 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.357 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.357 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545044181.357 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545044181.357 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545044181.357 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545044181.358 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545044181.358 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545044181.358 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545044181.358 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545044181.358 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545044181.358 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545044181.358 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.358 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545044181.358 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.358 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044181.358 * [misc]taylor: Taking taylor expansion of k in n 1545044181.358 * [misc]backup-simplify: Simplify k into k 1545044181.359 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044181.359 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545044181.359 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545044181.359 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.359 * [misc]backup-simplify: Simplify 2 into 2 1545044181.359 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.359 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.359 * [misc]backup-simplify: Simplify PI into PI 1545044181.359 * [misc]taylor: Taking taylor expansion of n in n 1545044181.359 * [misc]backup-simplify: Simplify 0 into 0 1545044181.359 * [misc]backup-simplify: Simplify 1 into 1 1545044181.359 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.359 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.359 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.359 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545044181.359 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545044181.359 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545044181.360 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545044181.360 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545044181.361 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545044181.361 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545044181.361 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545044181.361 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545044181.361 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.361 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044181.361 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.361 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044181.361 * [misc]taylor: Taking taylor expansion of k in k 1545044181.361 * [misc]backup-simplify: Simplify 0 into 0 1545044181.361 * [misc]backup-simplify: Simplify 1 into 1 1545044181.361 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044181.361 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545044181.361 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044181.361 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044181.361 * [misc]taylor: Taking taylor expansion of 2 in k 1545044181.361 * [misc]backup-simplify: Simplify 2 into 2 1545044181.361 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.361 * [misc]backup-simplify: Simplify PI into PI 1545044181.361 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.362 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.362 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044181.362 * [misc]taylor: Taking taylor expansion of n in k 1545044181.362 * [misc]backup-simplify: Simplify n into n 1545044181.362 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044181.362 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044181.362 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044181.362 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044181.362 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545044181.362 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545044181.363 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545044181.363 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545044181.364 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545044181.365 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545044181.365 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044181.368 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044181.368 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044181.369 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545044181.369 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.369 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.370 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545044181.371 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545044181.373 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044181.373 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.373 * [misc]backup-simplify: Simplify 0 into 0 1545044181.373 * [misc]backup-simplify: Simplify 0 into 0 1545044181.373 * [misc]backup-simplify: Simplify 0 into 0 1545044181.374 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.375 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044181.380 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044181.380 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044181.381 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044181.381 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.381 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.386 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545044181.386 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545044181.389 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044181.389 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.389 * [misc]backup-simplify: Simplify 0 into 0 1545044181.389 * [misc]backup-simplify: Simplify 0 into 0 1545044181.389 * [misc]backup-simplify: Simplify 0 into 0 1545044181.389 * [misc]backup-simplify: Simplify 0 into 0 1545044181.391 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.393 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545044181.400 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1545044181.401 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044181.401 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545044181.401 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.401 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.402 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545044181.403 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545044181.407 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545044181.407 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.407 * [misc]backup-simplify: Simplify 0 into 0 1545044181.407 * [misc]backup-simplify: Simplify 0 into 0 1545044181.408 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545044181.408 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044181.408 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545044181.408 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545044181.408 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545044181.408 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545044181.408 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545044181.408 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044181.408 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.408 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044181.408 * [misc]taylor: Taking taylor expansion of k in k 1545044181.408 * [misc]backup-simplify: Simplify 0 into 0 1545044181.408 * [misc]backup-simplify: Simplify 1 into 1 1545044181.408 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044181.408 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.408 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545044181.408 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545044181.409 * [misc]taylor: Taking taylor expansion of -2 in k 1545044181.409 * [misc]backup-simplify: Simplify -2 into -2 1545044181.409 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545044181.409 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.409 * [misc]backup-simplify: Simplify PI into PI 1545044181.409 * [misc]taylor: Taking taylor expansion of n in k 1545044181.409 * [misc]backup-simplify: Simplify n into n 1545044181.409 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545044181.409 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545044181.409 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545044181.409 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044181.409 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044181.409 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545044181.410 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044181.410 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545044181.410 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545044181.410 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545044181.410 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545044181.410 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545044181.410 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.410 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044181.410 * [misc]taylor: Taking taylor expansion of k in n 1545044181.410 * [misc]backup-simplify: Simplify k into k 1545044181.410 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044181.410 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.410 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545044181.410 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545044181.410 * [misc]taylor: Taking taylor expansion of -2 in n 1545044181.410 * [misc]backup-simplify: Simplify -2 into -2 1545044181.410 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.410 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.410 * [misc]backup-simplify: Simplify PI into PI 1545044181.410 * [misc]taylor: Taking taylor expansion of n in n 1545044181.410 * [misc]backup-simplify: Simplify 0 into 0 1545044181.410 * [misc]backup-simplify: Simplify 1 into 1 1545044181.411 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.411 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545044181.411 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545044181.411 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545044181.412 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044181.412 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545044181.413 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545044181.413 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545044181.413 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545044181.413 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545044181.414 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545044181.414 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545044181.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545044181.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.414 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044181.414 * [misc]taylor: Taking taylor expansion of k in n 1545044181.414 * [misc]backup-simplify: Simplify k into k 1545044181.414 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044181.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.414 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545044181.414 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545044181.414 * [misc]taylor: Taking taylor expansion of -2 in n 1545044181.414 * [misc]backup-simplify: Simplify -2 into -2 1545044181.414 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.414 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.414 * [misc]backup-simplify: Simplify PI into PI 1545044181.414 * [misc]taylor: Taking taylor expansion of n in n 1545044181.414 * [misc]backup-simplify: Simplify 0 into 0 1545044181.414 * [misc]backup-simplify: Simplify 1 into 1 1545044181.414 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.415 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545044181.415 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545044181.415 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545044181.415 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044181.416 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545044181.416 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545044181.417 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545044181.417 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545044181.417 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545044181.417 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545044181.417 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044181.417 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.417 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044181.417 * [misc]taylor: Taking taylor expansion of k in k 1545044181.417 * [misc]backup-simplify: Simplify 0 into 0 1545044181.417 * [misc]backup-simplify: Simplify 1 into 1 1545044181.418 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044181.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.418 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545044181.418 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545044181.418 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545044181.418 * [misc]taylor: Taking taylor expansion of -2 in k 1545044181.418 * [misc]backup-simplify: Simplify -2 into -2 1545044181.418 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.418 * [misc]backup-simplify: Simplify PI into PI 1545044181.418 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545044181.419 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545044181.419 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044181.419 * [misc]taylor: Taking taylor expansion of n in k 1545044181.419 * [misc]backup-simplify: Simplify n into n 1545044181.419 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044181.419 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044181.419 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044181.419 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545044181.420 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545044181.420 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545044181.421 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545044181.421 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545044181.423 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545044181.423 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545044181.426 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545044181.426 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044181.426 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545044181.426 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.427 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545044181.428 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545044181.430 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044181.430 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.430 * [misc]backup-simplify: Simplify 0 into 0 1545044181.430 * [misc]backup-simplify: Simplify 0 into 0 1545044181.430 * [misc]backup-simplify: Simplify 0 into 0 1545044181.432 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.433 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044181.437 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1545044181.438 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044181.438 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044181.438 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.439 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545044181.439 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545044181.441 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044181.441 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.441 * [misc]backup-simplify: Simplify 0 into 0 1545044181.441 * [misc]backup-simplify: Simplify 0 into 0 1545044181.441 * [misc]backup-simplify: Simplify 0 into 0 1545044181.441 * [misc]backup-simplify: Simplify 0 into 0 1545044181.442 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.443 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545044181.448 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 1545044181.448 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044181.448 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545044181.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.449 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545044181.449 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545044181.451 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545044181.451 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.451 * [misc]backup-simplify: Simplify 0 into 0 1545044181.451 * [misc]backup-simplify: Simplify 0 into 0 1545044181.452 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545044181.452 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1545044181.452 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545044181.452 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545044181.452 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545044181.452 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.452 * [misc]backup-simplify: Simplify 2 into 2 1545044181.452 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044181.452 * [misc]taylor: Taking taylor expansion of n in n 1545044181.452 * [misc]backup-simplify: Simplify 0 into 0 1545044181.452 * [misc]backup-simplify: Simplify 1 into 1 1545044181.452 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.452 * [misc]backup-simplify: Simplify PI into PI 1545044181.452 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545044181.452 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.452 * [misc]backup-simplify: Simplify 2 into 2 1545044181.452 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044181.452 * [misc]taylor: Taking taylor expansion of n in n 1545044181.452 * [misc]backup-simplify: Simplify 0 into 0 1545044181.452 * [misc]backup-simplify: Simplify 1 into 1 1545044181.452 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.452 * [misc]backup-simplify: Simplify PI into PI 1545044181.453 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044181.453 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545044181.453 * [misc]backup-simplify: Simplify 0 into 0 1545044181.453 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044181.454 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545044181.454 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.454 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545044181.455 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545044181.455 * [misc]backup-simplify: Simplify 0 into 0 1545044181.456 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545044181.457 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545044181.457 * [misc]backup-simplify: Simplify 0 into 0 1545044181.458 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545044181.460 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545044181.460 * [misc]backup-simplify: Simplify 0 into 0 1545044181.461 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545044181.463 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545044181.463 * [misc]backup-simplify: Simplify 0 into 0 1545044181.466 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545044181.469 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545044181.469 * [misc]backup-simplify: Simplify 0 into 0 1545044181.473 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545044181.477 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545044181.477 * [misc]backup-simplify: Simplify 0 into 0 1545044181.477 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545044181.477 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545044181.478 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545044181.478 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545044181.478 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.478 * [misc]backup-simplify: Simplify 2 into 2 1545044181.478 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.478 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.478 * [misc]backup-simplify: Simplify PI into PI 1545044181.478 * [misc]taylor: Taking taylor expansion of n in n 1545044181.478 * [misc]backup-simplify: Simplify 0 into 0 1545044181.478 * [misc]backup-simplify: Simplify 1 into 1 1545044181.478 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.478 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545044181.478 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.478 * [misc]backup-simplify: Simplify 2 into 2 1545044181.478 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.478 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.478 * [misc]backup-simplify: Simplify PI into PI 1545044181.478 * [misc]taylor: Taking taylor expansion of n in n 1545044181.478 * [misc]backup-simplify: Simplify 0 into 0 1545044181.478 * [misc]backup-simplify: Simplify 1 into 1 1545044181.479 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.479 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.480 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.481 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545044181.481 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044181.481 * [misc]backup-simplify: Simplify 0 into 0 1545044181.483 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.484 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044181.484 * [misc]backup-simplify: Simplify 0 into 0 1545044181.485 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.487 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545044181.487 * [misc]backup-simplify: Simplify 0 into 0 1545044181.489 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.491 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545044181.491 * [misc]backup-simplify: Simplify 0 into 0 1545044181.493 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.495 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545044181.495 * [misc]backup-simplify: Simplify 0 into 0 1545044181.498 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.501 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545044181.501 * [misc]backup-simplify: Simplify 0 into 0 1545044181.501 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545044181.501 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545044181.501 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545044181.502 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545044181.502 * [misc]taylor: Taking taylor expansion of -2 in n 1545044181.502 * [misc]backup-simplify: Simplify -2 into -2 1545044181.502 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.502 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.502 * [misc]backup-simplify: Simplify PI into PI 1545044181.502 * [misc]taylor: Taking taylor expansion of n in n 1545044181.502 * [misc]backup-simplify: Simplify 0 into 0 1545044181.502 * [misc]backup-simplify: Simplify 1 into 1 1545044181.502 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.502 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545044181.502 * [misc]taylor: Taking taylor expansion of -2 in n 1545044181.502 * [misc]backup-simplify: Simplify -2 into -2 1545044181.502 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.502 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.502 * [misc]backup-simplify: Simplify PI into PI 1545044181.502 * [misc]taylor: Taking taylor expansion of n in n 1545044181.502 * [misc]backup-simplify: Simplify 0 into 0 1545044181.502 * [misc]backup-simplify: Simplify 1 into 1 1545044181.502 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.503 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545044181.503 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545044181.504 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545044181.505 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545044181.505 * [misc]backup-simplify: Simplify 0 into 0 1545044181.506 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.507 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044181.507 * [misc]backup-simplify: Simplify 0 into 0 1545044181.509 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.510 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545044181.510 * [misc]backup-simplify: Simplify 0 into 0 1545044181.512 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.514 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545044181.514 * [misc]backup-simplify: Simplify 0 into 0 1545044181.516 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.519 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545044181.519 * [misc]backup-simplify: Simplify 0 into 0 1545044181.521 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.525 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545044181.525 * [misc]backup-simplify: Simplify 0 into 0 1545044181.526 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545044181.526 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545044181.526 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1545044181.526 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545044181.526 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545044181.526 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545044181.526 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044181.526 * [misc]taylor: Taking taylor expansion of k in k 1545044181.526 * [misc]backup-simplify: Simplify 0 into 0 1545044181.526 * [misc]backup-simplify: Simplify 1 into 1 1545044181.526 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044181.527 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044181.527 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044181.527 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545044181.527 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545044181.528 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545044181.528 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545044181.528 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.528 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545044181.528 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.528 * [misc]taylor: Taking taylor expansion of k in k 1545044181.528 * [misc]backup-simplify: Simplify 0 into 0 1545044181.528 * [misc]backup-simplify: Simplify 1 into 1 1545044181.528 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545044181.528 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545044181.528 * [misc]taylor: Taking taylor expansion of 2 in k 1545044181.528 * [misc]backup-simplify: Simplify 2 into 2 1545044181.528 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545044181.528 * [misc]taylor: Taking taylor expansion of n in k 1545044181.528 * [misc]backup-simplify: Simplify n into n 1545044181.528 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.528 * [misc]backup-simplify: Simplify PI into PI 1545044181.528 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545044181.528 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545044181.528 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545044181.528 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044181.529 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.529 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044181.529 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545044181.529 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545044181.529 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545044181.529 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545044181.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044181.529 * [misc]taylor: Taking taylor expansion of k in n 1545044181.529 * [misc]backup-simplify: Simplify k into k 1545044181.529 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044181.529 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545044181.529 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044181.529 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545044181.529 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545044181.529 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545044181.530 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545044181.530 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545044181.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.530 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545044181.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.530 * [misc]taylor: Taking taylor expansion of k in n 1545044181.530 * [misc]backup-simplify: Simplify k into k 1545044181.530 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545044181.530 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545044181.530 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.530 * [misc]backup-simplify: Simplify 2 into 2 1545044181.530 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044181.530 * [misc]taylor: Taking taylor expansion of n in n 1545044181.530 * [misc]backup-simplify: Simplify 0 into 0 1545044181.530 * [misc]backup-simplify: Simplify 1 into 1 1545044181.530 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.530 * [misc]backup-simplify: Simplify PI into PI 1545044181.530 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044181.530 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545044181.532 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044181.532 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545044181.533 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.533 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545044181.533 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545044181.533 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545044181.534 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.534 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1545044181.535 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1545044181.535 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545044181.535 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545044181.535 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044181.535 * [misc]taylor: Taking taylor expansion of k in n 1545044181.535 * [misc]backup-simplify: Simplify k into k 1545044181.535 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044181.535 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545044181.535 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044181.535 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545044181.535 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545044181.535 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545044181.535 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545044181.535 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545044181.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.535 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545044181.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.536 * [misc]taylor: Taking taylor expansion of k in n 1545044181.536 * [misc]backup-simplify: Simplify k into k 1545044181.536 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545044181.536 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545044181.536 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.536 * [misc]backup-simplify: Simplify 2 into 2 1545044181.536 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044181.536 * [misc]taylor: Taking taylor expansion of n in n 1545044181.536 * [misc]backup-simplify: Simplify 0 into 0 1545044181.536 * [misc]backup-simplify: Simplify 1 into 1 1545044181.536 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.536 * [misc]backup-simplify: Simplify PI into PI 1545044181.536 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044181.536 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545044181.537 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044181.537 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545044181.538 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.538 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545044181.538 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545044181.538 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545044181.539 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.539 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1545044181.540 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1545044181.541 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) 1545044181.541 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545044181.541 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545044181.541 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545044181.541 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545044181.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.541 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545044181.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.541 * [misc]taylor: Taking taylor expansion of k in k 1545044181.541 * [misc]backup-simplify: Simplify 0 into 0 1545044181.541 * [misc]backup-simplify: Simplify 1 into 1 1545044181.541 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545044181.541 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044181.541 * [misc]taylor: Taking taylor expansion of n in k 1545044181.541 * [misc]backup-simplify: Simplify n into n 1545044181.541 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044181.541 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044181.541 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044181.541 * [misc]taylor: Taking taylor expansion of 2 in k 1545044181.541 * [misc]backup-simplify: Simplify 2 into 2 1545044181.541 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.541 * [misc]backup-simplify: Simplify PI into PI 1545044181.542 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.542 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.542 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044181.542 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.543 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044181.543 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.544 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545044181.544 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545044181.544 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545044181.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044181.544 * [misc]taylor: Taking taylor expansion of k in k 1545044181.544 * [misc]backup-simplify: Simplify 0 into 0 1545044181.544 * [misc]backup-simplify: Simplify 1 into 1 1545044181.544 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044181.545 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044181.545 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044181.545 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545044181.546 * [misc]backup-simplify: Simplify 0 into 0 1545044181.547 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545044181.548 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545044181.550 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044181.550 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545044181.551 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.551 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.551 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.552 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545044181.553 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044181.554 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545044181.554 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.554 * [misc]backup-simplify: Simplify 0 into 0 1545044181.555 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044181.556 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044181.558 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044181.558 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.559 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545044181.559 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044181.559 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044181.559 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545044181.560 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545044181.562 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545044181.562 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545044181.563 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545044181.564 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545044181.567 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044181.567 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545044181.567 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.568 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.568 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545044181.569 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044181.570 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044181.570 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545044181.571 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545044181.571 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.571 * [misc]backup-simplify: Simplify 0 into 0 1545044181.571 * [misc]backup-simplify: Simplify 0 into 0 1545044181.571 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044181.572 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044181.573 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044181.573 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044181.576 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044181.576 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.576 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044181.577 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.577 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.577 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545044181.579 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1545044181.581 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1545044181.583 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1545044181.584 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545044181.585 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545044181.592 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1545044181.593 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545044181.593 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.593 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.594 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545044181.595 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545044181.599 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545044181.599 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044181.599 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545044181.600 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0 1545044181.600 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.600 * [misc]backup-simplify: Simplify 0 into 0 1545044181.600 * [misc]backup-simplify: Simplify 0 into 0 1545044181.600 * [misc]backup-simplify: Simplify 0 into 0 1545044181.601 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.602 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044181.605 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1545044181.606 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545044181.614 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1545044181.614 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545044181.615 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.615 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.616 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545044181.620 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1545044181.628 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1545044181.636 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1545044181.646 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1545044181.647 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545044181.647 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545044181.647 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545044181.647 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545044181.647 * [misc]taylor: Taking taylor expansion of k in k 1545044181.647 * [misc]backup-simplify: Simplify 0 into 0 1545044181.647 * [misc]backup-simplify: Simplify 1 into 1 1545044181.647 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044181.648 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044181.648 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545044181.648 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545044181.648 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545044181.648 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545044181.648 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.648 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044181.648 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.648 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044181.648 * [misc]taylor: Taking taylor expansion of k in k 1545044181.648 * [misc]backup-simplify: Simplify 0 into 0 1545044181.648 * [misc]backup-simplify: Simplify 1 into 1 1545044181.649 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044181.649 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545044181.649 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545044181.649 * [misc]taylor: Taking taylor expansion of 2 in k 1545044181.649 * [misc]backup-simplify: Simplify 2 into 2 1545044181.649 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545044181.649 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.649 * [misc]backup-simplify: Simplify PI into PI 1545044181.649 * [misc]taylor: Taking taylor expansion of n in k 1545044181.649 * [misc]backup-simplify: Simplify n into n 1545044181.649 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545044181.649 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545044181.649 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545044181.649 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044181.649 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044181.650 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044181.650 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545044181.650 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1545044181.650 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545044181.650 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545044181.650 * [misc]taylor: Taking taylor expansion of k in n 1545044181.650 * [misc]backup-simplify: Simplify k into k 1545044181.650 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545044181.650 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545044181.650 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545044181.650 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545044181.650 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545044181.650 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545044181.650 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.650 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545044181.650 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.650 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044181.650 * [misc]taylor: Taking taylor expansion of k in n 1545044181.650 * [misc]backup-simplify: Simplify k into k 1545044181.651 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044181.651 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545044181.651 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545044181.651 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.651 * [misc]backup-simplify: Simplify 2 into 2 1545044181.651 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.651 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.651 * [misc]backup-simplify: Simplify PI into PI 1545044181.651 * [misc]taylor: Taking taylor expansion of n in n 1545044181.651 * [misc]backup-simplify: Simplify 0 into 0 1545044181.651 * [misc]backup-simplify: Simplify 1 into 1 1545044181.651 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.651 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.652 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.652 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545044181.653 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545044181.653 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545044181.653 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545044181.654 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545044181.655 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545044181.655 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of k in n 1545044181.655 * [misc]backup-simplify: Simplify k into k 1545044181.655 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545044181.655 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545044181.655 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.655 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.655 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of k in n 1545044181.655 * [misc]backup-simplify: Simplify k into k 1545044181.655 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044181.655 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of 2 in n 1545044181.655 * [misc]backup-simplify: Simplify 2 into 2 1545044181.655 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.655 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.656 * [misc]backup-simplify: Simplify PI into PI 1545044181.656 * [misc]taylor: Taking taylor expansion of n in n 1545044181.656 * [misc]backup-simplify: Simplify 0 into 0 1545044181.656 * [misc]backup-simplify: Simplify 1 into 1 1545044181.656 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.656 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.657 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.657 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545044181.657 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545044181.657 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545044181.657 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545044181.658 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545044181.659 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545044181.660 * [misc]backup-simplify: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) 1545044181.660 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545044181.660 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545044181.660 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545044181.660 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545044181.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.660 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044181.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.660 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044181.660 * [misc]taylor: Taking taylor expansion of k in k 1545044181.660 * [misc]backup-simplify: Simplify 0 into 0 1545044181.660 * [misc]backup-simplify: Simplify 1 into 1 1545044181.660 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044181.660 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545044181.660 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044181.660 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044181.660 * [misc]taylor: Taking taylor expansion of 2 in k 1545044181.660 * [misc]backup-simplify: Simplify 2 into 2 1545044181.660 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.660 * [misc]backup-simplify: Simplify PI into PI 1545044181.661 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044181.661 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044181.661 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044181.661 * [misc]taylor: Taking taylor expansion of n in k 1545044181.661 * [misc]backup-simplify: Simplify n into n 1545044181.661 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044181.661 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044181.662 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044181.662 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044181.662 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545044181.662 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545044181.663 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545044181.663 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545044181.663 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545044181.664 * [misc]taylor: Taking taylor expansion of k in k 1545044181.664 * [misc]backup-simplify: Simplify 0 into 0 1545044181.664 * [misc]backup-simplify: Simplify 1 into 1 1545044181.664 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044181.664 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044181.665 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545044181.665 * [misc]backup-simplify: Simplify 0 into 0 1545044181.666 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545044181.667 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044181.671 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044181.671 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044181.671 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545044181.671 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.671 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.672 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545044181.673 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545044181.674 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044181.675 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545044181.675 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.675 * [misc]backup-simplify: Simplify 0 into 0 1545044181.675 * [misc]backup-simplify: Simplify 0 into 0 1545044181.676 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545044181.676 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545044181.678 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.679 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044181.684 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044181.684 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044181.685 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044181.685 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.685 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.686 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545044181.687 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545044181.689 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044181.690 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545044181.690 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545044181.691 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.691 * [misc]backup-simplify: Simplify 0 into 0 1545044181.691 * [misc]backup-simplify: Simplify 0 into 0 1545044181.691 * [misc]backup-simplify: Simplify 0 into 0 1545044181.692 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044181.693 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545044181.694 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545044181.695 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.697 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545044181.706 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1545044181.706 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044181.706 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545044181.707 * [misc]backup-simplify: Simplify (- 0) into 0 1545044181.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.707 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545044181.708 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545044181.712 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545044181.712 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545044181.713 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1545044181.713 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.713 * [misc]backup-simplify: Simplify 0 into 0 1545044181.714 * [misc]backup-simplify: Simplify 0 into 0 1545044181.714 * [misc]backup-simplify: Simplify 0 into 0 1545044181.714 * [misc]backup-simplify: Simplify 0 into 0 1545044181.715 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044181.716 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545044181.717 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545044181.719 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1545044181.720 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545044181.720 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545044181.720 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545044181.720 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545044181.720 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545044181.720 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545044181.720 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545044181.720 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044181.720 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.720 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044181.720 * [misc]taylor: Taking taylor expansion of k in k 1545044181.720 * [misc]backup-simplify: Simplify 0 into 0 1545044181.720 * [misc]backup-simplify: Simplify 1 into 1 1545044181.720 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044181.720 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.720 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545044181.720 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545044181.720 * [misc]taylor: Taking taylor expansion of -2 in k 1545044181.720 * [misc]backup-simplify: Simplify -2 into -2 1545044181.720 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545044181.720 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.720 * [misc]backup-simplify: Simplify PI into PI 1545044181.720 * [misc]taylor: Taking taylor expansion of n in k 1545044181.721 * [misc]backup-simplify: Simplify n into n 1545044181.721 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545044181.721 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545044181.721 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545044181.721 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044181.721 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044181.721 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545044181.721 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044181.721 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545044181.722 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044181.722 * [misc]taylor: Taking taylor expansion of -1 in k 1545044181.722 * [misc]backup-simplify: Simplify -1 into -1 1545044181.722 * [misc]taylor: Taking taylor expansion of k in k 1545044181.722 * [misc]backup-simplify: Simplify 0 into 0 1545044181.722 * [misc]backup-simplify: Simplify 1 into 1 1545044181.722 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044181.722 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044181.723 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545044181.723 * [misc]backup-simplify: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044181.723 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545044181.723 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545044181.723 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545044181.723 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545044181.723 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545044181.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545044181.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044181.723 * [misc]taylor: Taking taylor expansion of k in n 1545044181.723 * [misc]backup-simplify: Simplify k into k 1545044181.723 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044181.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.723 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545044181.723 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545044181.723 * [misc]taylor: Taking taylor expansion of -2 in n 1545044181.723 * [misc]backup-simplify: Simplify -2 into -2 1545044181.723 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.723 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.723 * [misc]backup-simplify: Simplify PI into PI 1545044181.723 * [misc]taylor: Taking taylor expansion of n in n 1545044181.723 * [misc]backup-simplify: Simplify 0 into 0 1545044181.723 * [misc]backup-simplify: Simplify 1 into 1 1545044181.724 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.724 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545044181.724 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545044181.724 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545044181.724 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044181.725 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545044181.725 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545044181.725 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545044181.725 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545044181.725 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044181.725 * [misc]taylor: Taking taylor expansion of -1 in n 1545044181.725 * [misc]backup-simplify: Simplify -1 into -1 1545044181.725 * [misc]taylor: Taking taylor expansion of k in n 1545044181.726 * [misc]backup-simplify: Simplify k into k 1545044181.726 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044181.726 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545044181.726 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044181.726 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545044181.726 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) 1545044181.726 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545044181.726 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545044181.726 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545044181.726 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545044181.726 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545044181.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545044181.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044181.726 * [misc]taylor: Taking taylor expansion of k in n 1545044181.726 * [misc]backup-simplify: Simplify k into k 1545044181.726 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044181.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044181.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.726 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545044181.726 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545044181.726 * [misc]taylor: Taking taylor expansion of -2 in n 1545044181.726 * [misc]backup-simplify: Simplify -2 into -2 1545044181.727 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545044181.727 * [misc]taylor: Taking taylor expansion of PI in n 1545044181.727 * [misc]backup-simplify: Simplify PI into PI 1545044181.727 * [misc]taylor: Taking taylor expansion of n in n 1545044181.727 * [misc]backup-simplify: Simplify 0 into 0 1545044181.727 * [misc]backup-simplify: Simplify 1 into 1 1545044181.727 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545044181.727 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545044181.727 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545044181.727 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545044181.727 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044181.728 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545044181.728 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545044181.729 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545044181.729 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545044181.729 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044181.729 * [misc]taylor: Taking taylor expansion of -1 in n 1545044181.729 * [misc]backup-simplify: Simplify -1 into -1 1545044181.729 * [misc]taylor: Taking taylor expansion of k in n 1545044181.729 * [misc]backup-simplify: Simplify k into k 1545044181.729 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044181.729 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545044181.729 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044181.729 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545044181.729 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) 1545044181.729 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545044181.729 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545044181.729 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545044181.729 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545044181.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044181.729 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.730 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044181.730 * [misc]taylor: Taking taylor expansion of k in k 1545044181.730 * [misc]backup-simplify: Simplify 0 into 0 1545044181.730 * [misc]backup-simplify: Simplify 1 into 1 1545044181.730 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044181.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044181.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044181.730 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545044181.730 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545044181.730 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545044181.730 * [misc]taylor: Taking taylor expansion of -2 in k 1545044181.730 * [misc]backup-simplify: Simplify -2 into -2 1545044181.730 * [misc]taylor: Taking taylor expansion of PI in k 1545044181.730 * [misc]backup-simplify: Simplify PI into PI 1545044181.730 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545044181.730 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545044181.730 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044181.730 * [misc]taylor: Taking taylor expansion of n in k 1545044181.730 * [misc]backup-simplify: Simplify n into n 1545044181.730 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044181.730 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044181.731 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044181.731 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545044181.731 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545044181.731 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545044181.732 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545044181.732 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545044181.732 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044181.732 * [misc]taylor: Taking taylor expansion of -1 in k 1545044181.732 * [misc]backup-simplify: Simplify -1 into -1 1545044181.732 * [misc]taylor: Taking taylor expansion of k in k 1545044181.732 * [misc]backup-simplify: Simplify 0 into 0 1545044181.732 * [misc]backup-simplify: Simplify 1 into 1 1545044181.732 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044181.732 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044181.732 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545044181.733 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545044181.733 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545044181.734 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545044181.734 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545044181.736 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545044181.736 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044181.736 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545044181.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.737 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545044181.737 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545044181.738 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044181.739 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545044181.739 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.739 * [misc]backup-simplify: Simplify 0 into 0 1545044181.739 * [misc]backup-simplify: Simplify 0 into 0 1545044181.739 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044181.740 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044181.740 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1545044181.741 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1545044181.741 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.742 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044181.745 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1545044181.745 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044181.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044181.746 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044181.746 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545044181.746 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545044181.748 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044181.748 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044181.748 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545044181.749 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545044181.749 * [misc]taylor: Taking taylor expansion of 0 in k 1545044181.749 * [misc]backup-simplify: Simplify 0 into 0 1545044181.749 * [misc]backup-simplify: Simplify 0 into 0 1545044181.749 * [misc]backup-simplify: Simplify 0 into 0 1545044181.749 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044181.750 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044181.751 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1545044181.752 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1545044181.754 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1545044181.754 * * * [misc]progress: simplifying candidates 1545044181.754 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1545044181.754 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1545044181.754 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1545044181.755 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545044181.755 * * [misc]simplify: iters left: 6 (11 enodes) 1545044181.758 * * [misc]simplify: iters left: 5 (21 enodes) 1545044181.766 * * [misc]simplify: iters left: 4 (47 enodes) 1545044181.783 * * [misc]simplify: iters left: 3 (113 enodes) 1545044181.836 * * [misc]simplify: iters left: 2 (328 enodes) 1545044182.136 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545044182.136 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545044182.136 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1545044182.136 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1545044182.137 * [enter]simplify: Simplifying (* PI (* n 2)) 1545044182.137 * * [misc]simplify: iters left: 4 (5 enodes) 1545044182.138 * * [misc]simplify: iters left: 3 (9 enodes) 1545044182.141 * * [misc]simplify: iters left: 2 (15 enodes) 1545044182.144 * * [misc]simplify: iters left: 1 (17 enodes) 1545044182.148 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545044182.148 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545044182.148 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1545044182.149 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545044182.149 * * [misc]simplify: iters left: 5 (8 enodes) 1545044182.151 * * [misc]simplify: iters left: 4 (12 enodes) 1545044182.154 * * [misc]simplify: iters left: 3 (18 enodes) 1545044182.159 * * [misc]simplify: iters left: 2 (20 enodes) 1545044182.163 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545044182.163 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545044182.163 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1545044182.164 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545044182.164 * * [misc]simplify: iters left: 5 (6 enodes) 1545044182.165 * * [misc]simplify: iters left: 4 (8 enodes) 1545044182.168 * * [misc]simplify: iters left: 3 (11 enodes) 1545044182.170 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545044182.170 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) 1545044182.170 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1545044182.171 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545044182.171 * * [misc]simplify: iters left: 5 (6 enodes) 1545044182.172 * * [misc]simplify: iters left: 4 (8 enodes) 1545044182.174 * * [misc]simplify: iters left: 3 (11 enodes) 1545044182.177 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545044182.177 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) 1545044182.177 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1545044182.178 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545044182.178 * * [misc]simplify: iters left: 4 (5 enodes) 1545044182.179 * * [misc]simplify: iters left: 3 (7 enodes) 1545044182.181 * * [misc]simplify: iters left: 2 (10 enodes) 1545044182.183 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545044182.183 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545044182.183 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1545044182.183 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545044182.184 * * [misc]simplify: iters left: 5 (9 enodes) 1545044182.186 * * [misc]simplify: iters left: 4 (15 enodes) 1545044182.190 * * [misc]simplify: iters left: 3 (21 enodes) 1545044182.195 * * [misc]simplify: iters left: 2 (22 enodes) 1545044182.201 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545044182.201 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545044182.201 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1545044182.201 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545044182.201 * * [misc]simplify: iters left: 5 (9 enodes) 1545044182.204 * * [misc]simplify: iters left: 4 (15 enodes) 1545044182.209 * * [misc]simplify: iters left: 3 (21 enodes) 1545044182.215 * * [misc]simplify: iters left: 2 (22 enodes) 1545044182.220 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545044182.220 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545044182.221 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1545044182.221 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545044182.221 * * [misc]simplify: iters left: 5 (7 enodes) 1545044182.223 * * [misc]simplify: iters left: 4 (9 enodes) 1545044182.226 * * [misc]simplify: iters left: 3 (12 enodes) 1545044182.229 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545044182.229 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545044182.229 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1545044182.230 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1545044182.231 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1545044182.231 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1545044182.231 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1545044182.231 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1545044182.231 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1545044182.231 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1545044182.234 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545044182.234 * * [misc]simplify: iters left: 6 (14 enodes) 1545044182.239 * * [misc]simplify: iters left: 5 (27 enodes) 1545044182.244 * * [misc]simplify: iters left: 4 (55 enodes) 1545044182.256 * * [misc]simplify: iters left: 3 (144 enodes) 1545044182.336 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545044182.336 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545044182.336 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1545044182.337 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545044182.337 * * [misc]simplify: iters left: 6 (14 enodes) 1545044182.339 * * [misc]simplify: iters left: 5 (27 enodes) 1545044182.344 * * [misc]simplify: iters left: 4 (55 enodes) 1545044182.363 * * [misc]simplify: iters left: 3 (144 enodes) 1545044182.461 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545044182.461 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545044182.461 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1545044182.461 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545044182.461 * * [misc]simplify: iters left: 6 (14 enodes) 1545044182.463 * * [misc]simplify: iters left: 5 (24 enodes) 1545044182.468 * * [misc]simplify: iters left: 4 (43 enodes) 1545044182.475 * * [misc]simplify: iters left: 3 (73 enodes) 1545044182.502 * * [misc]simplify: iters left: 2 (220 enodes) 1545044182.705 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545044182.705 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545044182.705 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1545044182.705 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1545044182.705 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1545044182.706 * [enter]simplify: Simplifying (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545044182.706 * * [misc]simplify: iters left: 6 (16 enodes) 1545044182.710 * * [misc]simplify: iters left: 5 (31 enodes) 1545044182.720 * * [misc]simplify: iters left: 4 (67 enodes) 1545044182.739 * * [misc]simplify: iters left: 3 (124 enodes) 1545044182.764 * * [misc]simplify: iters left: 2 (195 enodes) 1545044182.810 * * [misc]simplify: iters left: 1 (309 enodes) 1545044182.964 * [exit]simplify: Simplified to (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))) 1545044182.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))))) 1545044182.964 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1545044182.964 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1545044182.964 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1545044182.964 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1545044182.964 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1545044182.965 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044182.965 * * [misc]simplify: iters left: 6 (12 enodes) 1545044182.969 * * [misc]simplify: iters left: 5 (19 enodes) 1545044182.974 * * [misc]simplify: iters left: 4 (25 enodes) 1545044182.981 * * [misc]simplify: iters left: 3 (26 enodes) 1545044182.987 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044182.987 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1545044182.987 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545044182.988 * * [misc]simplify: iters left: 6 (12 enodes) 1545044182.991 * * [misc]simplify: iters left: 5 (18 enodes) 1545044182.998 * * [misc]simplify: iters left: 4 (24 enodes) 1545044183.005 * * [misc]simplify: iters left: 3 (25 enodes) 1545044183.010 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545044183.010 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1545044183.010 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1545044183.011 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545044183.011 * * [misc]simplify: iters left: 6 (11 enodes) 1545044183.014 * * [misc]simplify: iters left: 5 (16 enodes) 1545044183.018 * * [misc]simplify: iters left: 4 (22 enodes) 1545044183.023 * * [misc]simplify: iters left: 3 (24 enodes) 1545044183.030 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545044183.030 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1545044183.030 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545044183.030 * * [misc]simplify: iters left: 6 (12 enodes) 1545044183.034 * * [misc]simplify: iters left: 5 (18 enodes) 1545044183.039 * * [misc]simplify: iters left: 4 (24 enodes) 1545044183.045 * * [misc]simplify: iters left: 3 (25 enodes) 1545044183.052 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545044183.052 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1545044183.052 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1545044183.053 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545044183.053 * * [misc]simplify: iters left: 6 (9 enodes) 1545044183.056 * * [misc]simplify: iters left: 5 (16 enodes) 1545044183.060 * * [misc]simplify: iters left: 4 (24 enodes) 1545044183.063 * * [misc]simplify: iters left: 3 (26 enodes) 1545044183.066 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545044183.066 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545044183.066 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545044183.066 * * [misc]simplify: iters left: 6 (11 enodes) 1545044183.068 * * [misc]simplify: iters left: 5 (17 enodes) 1545044183.071 * * [misc]simplify: iters left: 4 (23 enodes) 1545044183.074 * * [misc]simplify: iters left: 3 (24 enodes) 1545044183.077 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545044183.077 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545044183.077 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1545044183.077 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044183.077 * * [misc]simplify: iters left: 6 (12 enodes) 1545044183.079 * * [misc]simplify: iters left: 5 (19 enodes) 1545044183.082 * * [misc]simplify: iters left: 4 (25 enodes) 1545044183.085 * * [misc]simplify: iters left: 3 (26 enodes) 1545044183.088 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044183.089 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1545044183.089 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545044183.089 * * [misc]simplify: iters left: 6 (12 enodes) 1545044183.091 * * [misc]simplify: iters left: 5 (18 enodes) 1545044183.093 * * [misc]simplify: iters left: 4 (24 enodes) 1545044183.097 * * [misc]simplify: iters left: 3 (25 enodes) 1545044183.100 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545044183.100 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1545044183.100 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1545044183.100 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545044183.100 * * [misc]simplify: iters left: 6 (11 enodes) 1545044183.102 * * [misc]simplify: iters left: 5 (16 enodes) 1545044183.105 * * [misc]simplify: iters left: 4 (22 enodes) 1545044183.108 * * [misc]simplify: iters left: 3 (24 enodes) 1545044183.111 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545044183.111 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1545044183.112 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545044183.112 * * [misc]simplify: iters left: 6 (12 enodes) 1545044183.113 * * [misc]simplify: iters left: 5 (18 enodes) 1545044183.116 * * [misc]simplify: iters left: 4 (24 enodes) 1545044183.120 * * [misc]simplify: iters left: 3 (25 enodes) 1545044183.123 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545044183.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1545044183.123 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1545044183.123 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545044183.123 * * [misc]simplify: iters left: 6 (9 enodes) 1545044183.125 * * [misc]simplify: iters left: 5 (16 enodes) 1545044183.127 * * [misc]simplify: iters left: 4 (24 enodes) 1545044183.130 * * [misc]simplify: iters left: 3 (26 enodes) 1545044183.133 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545044183.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545044183.133 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545044183.133 * * [misc]simplify: iters left: 6 (11 enodes) 1545044183.135 * * [misc]simplify: iters left: 5 (17 enodes) 1545044183.138 * * [misc]simplify: iters left: 4 (23 enodes) 1545044183.141 * * [misc]simplify: iters left: 3 (24 enodes) 1545044183.144 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545044183.144 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545044183.144 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1545044183.144 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044183.144 * * [misc]simplify: iters left: 6 (11 enodes) 1545044183.146 * * [misc]simplify: iters left: 5 (15 enodes) 1545044183.148 * * [misc]simplify: iters left: 4 (18 enodes) 1545044183.151 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044183.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545044183.151 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545044183.151 * * [misc]simplify: iters left: 6 (11 enodes) 1545044183.153 * * [misc]simplify: iters left: 5 (14 enodes) 1545044183.155 * * [misc]simplify: iters left: 4 (17 enodes) 1545044183.157 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545044183.157 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545044183.157 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1545044183.157 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545044183.157 * * [misc]simplify: iters left: 6 (10 enodes) 1545044183.159 * * [misc]simplify: iters left: 5 (12 enodes) 1545044183.161 * * [misc]simplify: iters left: 4 (15 enodes) 1545044183.163 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545044183.163 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545044183.163 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545044183.163 * * [misc]simplify: iters left: 6 (11 enodes) 1545044183.165 * * [misc]simplify: iters left: 5 (14 enodes) 1545044183.167 * * [misc]simplify: iters left: 4 (17 enodes) 1545044183.169 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545044183.169 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545044183.169 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1545044183.170 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545044183.170 * * [misc]simplify: iters left: 6 (9 enodes) 1545044183.171 * * [misc]simplify: iters left: 5 (13 enodes) 1545044183.175 * * [misc]simplify: iters left: 4 (18 enodes) 1545044183.179 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545044183.179 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545044183.180 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545044183.180 * * [misc]simplify: iters left: 6 (10 enodes) 1545044183.183 * * [misc]simplify: iters left: 5 (13 enodes) 1545044183.186 * * [misc]simplify: iters left: 4 (16 enodes) 1545044183.192 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545044183.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545044183.192 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1545044183.192 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044183.192 * * [misc]simplify: iters left: 6 (16 enodes) 1545044183.198 * * [misc]simplify: iters left: 5 (28 enodes) 1545044183.207 * * [misc]simplify: iters left: 4 (46 enodes) 1545044183.220 * * [misc]simplify: iters left: 3 (50 enodes) 1545044183.233 * * [misc]simplify: iters left: 2 (53 enodes) 1545044183.247 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545044183.247 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545044183.248 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545044183.248 * * [misc]simplify: iters left: 6 (14 enodes) 1545044183.252 * * [misc]simplify: iters left: 5 (20 enodes) 1545044183.259 * * [misc]simplify: iters left: 4 (29 enodes) 1545044183.263 * * [misc]simplify: iters left: 3 (30 enodes) 1545044183.267 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545044183.267 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545044183.267 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1545044183.267 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545044183.267 * * [misc]simplify: iters left: 6 (15 enodes) 1545044183.270 * * [misc]simplify: iters left: 5 (23 enodes) 1545044183.273 * * [misc]simplify: iters left: 4 (34 enodes) 1545044183.278 * * [misc]simplify: iters left: 3 (37 enodes) 1545044183.283 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1545044183.283 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545044183.283 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545044183.283 * * [misc]simplify: iters left: 6 (14 enodes) 1545044183.286 * * [misc]simplify: iters left: 5 (20 enodes) 1545044183.289 * * [misc]simplify: iters left: 4 (29 enodes) 1545044183.293 * * [misc]simplify: iters left: 3 (30 enodes) 1545044183.297 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545044183.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545044183.297 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1545044183.297 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545044183.297 * * [misc]simplify: iters left: 6 (14 enodes) 1545044183.300 * * [misc]simplify: iters left: 5 (24 enodes) 1545044183.305 * * [misc]simplify: iters left: 4 (39 enodes) 1545044183.314 * * [misc]simplify: iters left: 3 (54 enodes) 1545044183.328 * * [misc]simplify: iters left: 2 (80 enodes) 1545044183.349 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545044183.350 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545044183.350 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545044183.350 * * [misc]simplify: iters left: 6 (13 enodes) 1545044183.354 * * [misc]simplify: iters left: 5 (19 enodes) 1545044183.360 * * [misc]simplify: iters left: 4 (28 enodes) 1545044183.368 * * [misc]simplify: iters left: 3 (30 enodes) 1545044183.376 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545044183.376 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1545044183.376 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1545044183.377 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044183.377 * * [misc]simplify: iters left: 6 (15 enodes) 1545044183.382 * * [misc]simplify: iters left: 5 (23 enodes) 1545044183.389 * * [misc]simplify: iters left: 4 (32 enodes) 1545044183.398 * * [misc]simplify: iters left: 3 (34 enodes) 1545044183.407 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044183.407 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545044183.407 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545044183.407 * * [misc]simplify: iters left: 6 (14 enodes) 1545044183.411 * * [misc]simplify: iters left: 5 (20 enodes) 1545044183.417 * * [misc]simplify: iters left: 4 (29 enodes) 1545044183.425 * * [misc]simplify: iters left: 3 (30 enodes) 1545044183.433 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545044183.433 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545044183.433 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1545044183.433 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545044183.433 * * [misc]simplify: iters left: 6 (14 enodes) 1545044183.438 * * [misc]simplify: iters left: 5 (20 enodes) 1545044183.444 * * [misc]simplify: iters left: 4 (29 enodes) 1545044183.453 * * [misc]simplify: iters left: 3 (30 enodes) 1545044183.458 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545044183.458 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545044183.458 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545044183.459 * * [misc]simplify: iters left: 6 (14 enodes) 1545044183.461 * * [misc]simplify: iters left: 5 (20 enodes) 1545044183.464 * * [misc]simplify: iters left: 4 (29 enodes) 1545044183.468 * * [misc]simplify: iters left: 3 (30 enodes) 1545044183.472 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545044183.472 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545044183.472 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1545044183.472 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545044183.472 * * [misc]simplify: iters left: 6 (13 enodes) 1545044183.475 * * [misc]simplify: iters left: 5 (21 enodes) 1545044183.478 * * [misc]simplify: iters left: 4 (32 enodes) 1545044183.482 * * [misc]simplify: iters left: 3 (33 enodes) 1545044183.486 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545044183.486 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545044183.486 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545044183.487 * * [misc]simplify: iters left: 6 (13 enodes) 1545044183.490 * * [misc]simplify: iters left: 5 (19 enodes) 1545044183.496 * * [misc]simplify: iters left: 4 (28 enodes) 1545044183.504 * * [misc]simplify: iters left: 3 (30 enodes) 1545044183.512 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545044183.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1545044183.512 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1545044183.513 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044183.513 * * [misc]simplify: iters left: 6 (6 enodes) 1545044183.515 * * [misc]simplify: iters left: 5 (10 enodes) 1545044183.517 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545044183.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545044183.518 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545044183.518 * * [misc]simplify: iters left: 6 (13 enodes) 1545044183.522 * * [misc]simplify: iters left: 5 (19 enodes) 1545044183.528 * * [misc]simplify: iters left: 4 (28 enodes) 1545044183.535 * * [misc]simplify: iters left: 3 (30 enodes) 1545044183.543 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545044183.543 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545044183.543 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1545044183.544 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545044183.544 * * [misc]simplify: iters left: 4 (5 enodes) 1545044183.545 * * [misc]simplify: iters left: 3 (7 enodes) 1545044183.547 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545044183.547 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545044183.547 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545044183.548 * * [misc]simplify: iters left: 6 (13 enodes) 1545044183.552 * * [misc]simplify: iters left: 5 (19 enodes) 1545044183.558 * * [misc]simplify: iters left: 4 (28 enodes) 1545044183.566 * * [misc]simplify: iters left: 3 (30 enodes) 1545044183.573 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545044183.574 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545044183.574 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1545044183.574 * [enter]simplify: Simplifying (/ 1 1) 1545044183.574 * * [misc]simplify: iters left: 2 (2 enodes) 1545044183.575 * * [misc]simplify: iters left: 1 (4 enodes) 1545044183.575 * [exit]simplify: Simplified to 1 1545044183.576 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545044183.577 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545044183.577 * * [misc]simplify: iters left: 6 (12 enodes) 1545044183.580 * * [misc]simplify: iters left: 5 (18 enodes) 1545044183.586 * * [misc]simplify: iters left: 4 (27 enodes) 1545044183.594 * * [misc]simplify: iters left: 3 (29 enodes) 1545044183.599 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545044183.599 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545044183.599 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1545044183.599 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1545044183.599 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1545044183.599 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1545044183.599 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545044183.599 * * [misc]simplify: iters left: 2 (3 enodes) 1545044183.600 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545044183.600 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1545044183.600 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1545044183.600 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545044183.600 * * [misc]simplify: iters left: 2 (3 enodes) 1545044183.600 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545044183.600 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545044183.600 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1545044183.600 * [enter]simplify: Simplifying (sqrt k) 1545044183.600 * * [misc]simplify: iters left: 1 (2 enodes) 1545044183.601 * [exit]simplify: Simplified to (sqrt k) 1545044183.601 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545044183.601 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1545044183.601 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545044183.601 * * [misc]simplify: iters left: 5 (7 enodes) 1545044183.602 * * [misc]simplify: iters left: 4 (12 enodes) 1545044183.604 * * [misc]simplify: iters left: 3 (18 enodes) 1545044183.607 * * [misc]simplify: iters left: 2 (20 enodes) 1545044183.609 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545044183.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545044183.609 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1545044183.610 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545044183.610 * * [misc]simplify: iters left: 5 (7 enodes) 1545044183.611 * * [misc]simplify: iters left: 4 (12 enodes) 1545044183.613 * * [misc]simplify: iters left: 3 (18 enodes) 1545044183.615 * * [misc]simplify: iters left: 2 (20 enodes) 1545044183.618 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545044183.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545044183.618 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1545044183.618 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545044183.618 * * [misc]simplify: iters left: 5 (7 enodes) 1545044183.619 * * [misc]simplify: iters left: 4 (9 enodes) 1545044183.621 * * [misc]simplify: iters left: 3 (12 enodes) 1545044183.622 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545044183.622 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545044183.622 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1545044183.622 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545044183.623 * * [misc]simplify: iters left: 6 (12 enodes) 1545044183.625 * * [misc]simplify: iters left: 5 (18 enodes) 1545044183.627 * * [misc]simplify: iters left: 4 (27 enodes) 1545044183.631 * * [misc]simplify: iters left: 3 (29 enodes) 1545044183.635 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545044183.635 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545044183.635 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1545044183.635 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545044183.635 * * [misc]simplify: iters left: 6 (11 enodes) 1545044183.637 * * [misc]simplify: iters left: 5 (17 enodes) 1545044183.640 * * [misc]simplify: iters left: 4 (26 enodes) 1545044183.643 * * [misc]simplify: iters left: 3 (27 enodes) 1545044183.650 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545044183.650 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545044183.650 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1545044183.650 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1545044183.650 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545044183.650 * * [misc]simplify: iters left: 5 (7 enodes) 1545044183.653 * * [misc]simplify: iters left: 4 (12 enodes) 1545044183.656 * * [misc]simplify: iters left: 3 (18 enodes) 1545044183.661 * * [misc]simplify: iters left: 2 (20 enodes) 1545044183.666 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545044183.666 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545044183.666 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1545044183.666 * [enter]simplify: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 1545044183.667 * * [misc]simplify: iters left: 6 (37 enodes) 1545044183.683 * * [misc]simplify: iters left: 5 (108 enodes) 1545044183.719 * * [misc]simplify: iters left: 4 (368 enodes) 1545044184.001 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1545044184.001 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1545044184.002 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1545044184.002 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545044184.002 * * [misc]simplify: iters left: 6 (15 enodes) 1545044184.005 * * [misc]simplify: iters left: 5 (33 enodes) 1545044184.011 * * [misc]simplify: iters left: 4 (64 enodes) 1545044184.028 * * [misc]simplify: iters left: 3 (179 enodes) 1545044184.131 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545044184.131 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044184.131 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1545044184.132 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545044184.132 * * [misc]simplify: iters left: 6 (15 enodes) 1545044184.138 * * [misc]simplify: iters left: 5 (30 enodes) 1545044184.150 * * [misc]simplify: iters left: 4 (65 enodes) 1545044184.179 * * [misc]simplify: iters left: 3 (208 enodes) 1545044184.281 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1545044184.281 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1545044184.281 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1545044184.281 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545044184.281 * * [misc]simplify: iters left: 4 (5 enodes) 1545044184.282 * * [misc]simplify: iters left: 3 (9 enodes) 1545044184.283 * * [misc]simplify: iters left: 2 (15 enodes) 1545044184.286 * * [misc]simplify: iters left: 1 (17 enodes) 1545044184.290 * [exit]simplify: Simplified to (* (* PI n) 2) 1545044184.290 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545044184.290 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1545044184.290 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545044184.291 * * [misc]simplify: iters left: 4 (5 enodes) 1545044184.291 * * [misc]simplify: iters left: 3 (9 enodes) 1545044184.293 * * [misc]simplify: iters left: 2 (15 enodes) 1545044184.295 * * [misc]simplify: iters left: 1 (17 enodes) 1545044184.297 * [exit]simplify: Simplified to (* (* PI n) 2) 1545044184.297 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545044184.297 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1545044184.297 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545044184.297 * * [misc]simplify: iters left: 4 (5 enodes) 1545044184.298 * * [misc]simplify: iters left: 3 (9 enodes) 1545044184.300 * * [misc]simplify: iters left: 2 (15 enodes) 1545044184.302 * * [misc]simplify: iters left: 1 (17 enodes) 1545044184.304 * [exit]simplify: Simplified to (* (* PI n) 2) 1545044184.304 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545044184.304 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1545044184.304 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1545044184.304 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044184.304 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1545044184.304 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1545044184.304 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044184.304 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1545044184.305 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1545044184.305 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044184.305 * * * [misc]progress: adding candidates to table 1545044185.471 * * [misc]progress: iteration 2 / 4 1545044185.471 * * * [misc]progress: picking best candidate 1545044185.533 * * * * [misc]pick: Picked # 1545044185.533 * * * [misc]progress: localizing error 1545044185.556 * * * [misc]progress: generating rewritten candidates 1545044185.556 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1545044185.558 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1545044185.561 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1545044185.577 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545044185.602 * * * [misc]progress: generating series expansions 1545044185.602 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1545044185.602 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1545044185.602 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1545044185.602 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044185.602 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044185.602 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044185.602 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.602 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.602 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.602 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.602 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.602 * [misc]taylor: Taking taylor expansion of k in k 1545044185.602 * [misc]backup-simplify: Simplify 0 into 0 1545044185.602 * [misc]backup-simplify: Simplify 1 into 1 1545044185.602 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.603 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044185.603 * [misc]taylor: Taking taylor expansion of n in k 1545044185.603 * [misc]backup-simplify: Simplify n into n 1545044185.603 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044185.603 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.603 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.603 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044185.603 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044185.603 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044185.603 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044185.603 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044185.603 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044185.604 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.604 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044185.604 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.604 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.604 * [misc]taylor: Taking taylor expansion of k in n 1545044185.604 * [misc]backup-simplify: Simplify k into k 1545044185.604 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.604 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044185.604 * [misc]taylor: Taking taylor expansion of n in n 1545044185.604 * [misc]backup-simplify: Simplify 0 into 0 1545044185.604 * [misc]backup-simplify: Simplify 1 into 1 1545044185.604 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.604 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044185.604 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044185.604 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.605 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044185.605 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044185.605 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044185.605 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044185.605 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044185.605 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044185.605 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.605 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044185.605 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.605 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.605 * [misc]taylor: Taking taylor expansion of k in n 1545044185.605 * [misc]backup-simplify: Simplify k into k 1545044185.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.605 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044185.605 * [misc]taylor: Taking taylor expansion of n in n 1545044185.605 * [misc]backup-simplify: Simplify 0 into 0 1545044185.605 * [misc]backup-simplify: Simplify 1 into 1 1545044185.605 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.605 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044185.605 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044185.606 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.606 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044185.606 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044185.606 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545044185.606 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545044185.606 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545044185.606 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545044185.606 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.606 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545044185.606 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.606 * [misc]taylor: Taking taylor expansion of k in k 1545044185.606 * [misc]backup-simplify: Simplify 0 into 0 1545044185.606 * [misc]backup-simplify: Simplify 1 into 1 1545044185.606 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044185.606 * [misc]taylor: Taking taylor expansion of n in k 1545044185.606 * [misc]backup-simplify: Simplify n into n 1545044185.606 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044185.607 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044185.607 * [misc]backup-simplify: Simplify (- 0) into 0 1545044185.607 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044185.607 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044185.607 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044185.607 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1545044185.610 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044185.610 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1545044185.610 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.610 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.611 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545044185.612 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044185.612 * [misc]taylor: Taking taylor expansion of 0 in k 1545044185.612 * [misc]backup-simplify: Simplify 0 into 0 1545044185.612 * [misc]backup-simplify: Simplify 0 into 0 1545044185.613 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044185.613 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545044185.613 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044185.613 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044185.613 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545044185.614 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545044185.614 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1545044185.618 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545044185.619 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545044185.619 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.619 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.620 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545044185.621 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044185.621 * [misc]taylor: Taking taylor expansion of 0 in k 1545044185.621 * [misc]backup-simplify: Simplify 0 into 0 1545044185.621 * [misc]backup-simplify: Simplify 0 into 0 1545044185.622 * [misc]backup-simplify: Simplify 0 into 0 1545044185.623 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044185.623 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044185.624 * [misc]backup-simplify: Simplify (- 0) into 0 1545044185.624 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545044185.625 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044185.625 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044185.626 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545044185.626 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044185.626 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1545044185.626 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044185.626 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044185.626 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044185.626 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044185.626 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.626 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044185.626 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.626 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.626 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.626 * [misc]taylor: Taking taylor expansion of k in k 1545044185.626 * [misc]backup-simplify: Simplify 0 into 0 1545044185.626 * [misc]backup-simplify: Simplify 1 into 1 1545044185.627 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.627 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.627 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044185.627 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044185.627 * [misc]taylor: Taking taylor expansion of n in k 1545044185.627 * [misc]backup-simplify: Simplify n into n 1545044185.627 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044185.627 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044185.627 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044185.627 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.627 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044185.627 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044185.627 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044185.627 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044185.627 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044185.628 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044185.628 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.628 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044185.628 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.628 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.628 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044185.628 * [misc]taylor: Taking taylor expansion of k in n 1545044185.628 * [misc]backup-simplify: Simplify k into k 1545044185.628 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044185.628 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.628 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044185.628 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044185.628 * [misc]taylor: Taking taylor expansion of n in n 1545044185.628 * [misc]backup-simplify: Simplify 0 into 0 1545044185.628 * [misc]backup-simplify: Simplify 1 into 1 1545044185.628 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.628 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.628 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044185.628 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044185.629 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044185.629 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044185.629 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044185.629 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044185.629 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044185.629 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044185.629 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044185.629 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.629 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044185.629 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.629 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044185.629 * [misc]taylor: Taking taylor expansion of k in n 1545044185.629 * [misc]backup-simplify: Simplify k into k 1545044185.629 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044185.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.630 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044185.630 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044185.630 * [misc]taylor: Taking taylor expansion of n in n 1545044185.630 * [misc]backup-simplify: Simplify 0 into 0 1545044185.630 * [misc]backup-simplify: Simplify 1 into 1 1545044185.630 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.630 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.630 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044185.630 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044185.630 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044185.630 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044185.631 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044185.631 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545044185.631 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545044185.631 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.631 * [misc]backup-simplify: Simplify -1 into -1 1545044185.631 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545044185.631 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545044185.631 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.631 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044185.631 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.631 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.631 * [misc]taylor: Taking taylor expansion of k in k 1545044185.631 * [misc]backup-simplify: Simplify 0 into 0 1545044185.631 * [misc]backup-simplify: Simplify 1 into 1 1545044185.631 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.631 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044185.631 * [misc]taylor: Taking taylor expansion of n in k 1545044185.631 * [misc]backup-simplify: Simplify n into n 1545044185.631 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044185.632 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044185.632 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044185.632 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044185.632 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545044185.632 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545044185.632 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044185.632 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044185.633 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044185.635 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044185.635 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044185.636 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044185.636 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.636 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044185.636 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545044185.637 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044185.638 * [misc]taylor: Taking taylor expansion of 0 in k 1545044185.638 * [misc]backup-simplify: Simplify 0 into 0 1545044185.638 * [misc]backup-simplify: Simplify 0 into 0 1545044185.638 * [misc]backup-simplify: Simplify 0 into 0 1545044185.638 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044185.642 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545044185.642 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044185.643 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044185.643 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.643 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044185.643 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545044185.645 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044185.645 * [misc]taylor: Taking taylor expansion of 0 in k 1545044185.645 * [misc]backup-simplify: Simplify 0 into 0 1545044185.645 * [misc]backup-simplify: Simplify 0 into 0 1545044185.645 * [misc]backup-simplify: Simplify 0 into 0 1545044185.646 * [misc]backup-simplify: Simplify 0 into 0 1545044185.646 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044185.653 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1545044185.653 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044185.653 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545044185.653 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.654 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044185.654 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545044185.657 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545044185.657 * [misc]taylor: Taking taylor expansion of 0 in k 1545044185.657 * [misc]backup-simplify: Simplify 0 into 0 1545044185.657 * [misc]backup-simplify: Simplify 0 into 0 1545044185.658 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545044185.658 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1545044185.658 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1545044185.658 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044185.658 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044185.658 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044185.658 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044185.658 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.658 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044185.658 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.658 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.658 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044185.658 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.658 * [misc]backup-simplify: Simplify -1 into -1 1545044185.658 * [misc]taylor: Taking taylor expansion of k in k 1545044185.658 * [misc]backup-simplify: Simplify 0 into 0 1545044185.658 * [misc]backup-simplify: Simplify 1 into 1 1545044185.658 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.658 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044185.658 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044185.659 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.659 * [misc]backup-simplify: Simplify -1 into -1 1545044185.659 * [misc]taylor: Taking taylor expansion of n in k 1545044185.659 * [misc]backup-simplify: Simplify n into n 1545044185.659 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044185.659 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044185.659 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044185.659 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044185.659 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044185.659 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044185.659 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044185.659 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044185.659 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044185.659 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044185.659 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.659 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044185.660 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.660 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.660 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044185.660 * [misc]taylor: Taking taylor expansion of -1 in n 1545044185.660 * [misc]backup-simplify: Simplify -1 into -1 1545044185.660 * [misc]taylor: Taking taylor expansion of k in n 1545044185.660 * [misc]backup-simplify: Simplify k into k 1545044185.660 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044185.660 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.660 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044185.660 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044185.660 * [misc]taylor: Taking taylor expansion of -1 in n 1545044185.660 * [misc]backup-simplify: Simplify -1 into -1 1545044185.660 * [misc]taylor: Taking taylor expansion of n in n 1545044185.660 * [misc]backup-simplify: Simplify 0 into 0 1545044185.660 * [misc]backup-simplify: Simplify 1 into 1 1545044185.660 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.660 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044185.660 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044185.661 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044185.661 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044185.661 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044185.662 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044185.662 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044185.662 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044185.662 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044185.662 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044185.662 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.662 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044185.662 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.662 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.662 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044185.662 * [misc]taylor: Taking taylor expansion of -1 in n 1545044185.662 * [misc]backup-simplify: Simplify -1 into -1 1545044185.662 * [misc]taylor: Taking taylor expansion of k in n 1545044185.662 * [misc]backup-simplify: Simplify k into k 1545044185.662 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044185.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.662 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044185.662 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044185.662 * [misc]taylor: Taking taylor expansion of -1 in n 1545044185.662 * [misc]backup-simplify: Simplify -1 into -1 1545044185.662 * [misc]taylor: Taking taylor expansion of n in n 1545044185.662 * [misc]backup-simplify: Simplify 0 into 0 1545044185.662 * [misc]backup-simplify: Simplify 1 into 1 1545044185.662 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.663 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044185.663 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044185.663 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044185.663 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044185.663 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044185.664 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044185.664 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545044185.664 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545044185.664 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545044185.664 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044185.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.664 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.664 * [misc]taylor: Taking taylor expansion of k in k 1545044185.664 * [misc]backup-simplify: Simplify 0 into 0 1545044185.664 * [misc]backup-simplify: Simplify 1 into 1 1545044185.664 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.664 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545044185.664 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545044185.664 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.664 * [misc]backup-simplify: Simplify -1 into -1 1545044185.665 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044185.665 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044185.665 * [misc]taylor: Taking taylor expansion of n in k 1545044185.665 * [misc]backup-simplify: Simplify n into n 1545044185.665 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044185.665 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044185.665 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044185.665 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545044185.665 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545044185.666 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545044185.666 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044185.666 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044185.667 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044185.670 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545044185.670 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044185.670 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044185.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.670 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044185.671 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545044185.672 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044185.672 * [misc]taylor: Taking taylor expansion of 0 in k 1545044185.672 * [misc]backup-simplify: Simplify 0 into 0 1545044185.672 * [misc]backup-simplify: Simplify 0 into 0 1545044185.672 * [misc]backup-simplify: Simplify 0 into 0 1545044185.673 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044185.676 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545044185.676 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044185.677 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545044185.677 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.677 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044185.677 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545044185.678 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044185.678 * [misc]taylor: Taking taylor expansion of 0 in k 1545044185.679 * [misc]backup-simplify: Simplify 0 into 0 1545044185.679 * [misc]backup-simplify: Simplify 0 into 0 1545044185.679 * [misc]backup-simplify: Simplify 0 into 0 1545044185.679 * [misc]backup-simplify: Simplify 0 into 0 1545044185.679 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044185.685 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1545044185.685 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044185.686 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1545044185.686 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.686 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044185.687 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1545044185.689 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545044185.689 * [misc]taylor: Taking taylor expansion of 0 in k 1545044185.689 * [misc]backup-simplify: Simplify 0 into 0 1545044185.689 * [misc]backup-simplify: Simplify 0 into 0 1545044185.689 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545044185.689 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1545044185.689 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 k 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1545044185.689 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in (k) around 0 1545044185.689 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545044185.689 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545044185.689 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545044185.689 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.689 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.689 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.689 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.689 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.690 * [misc]taylor: Taking taylor expansion of k in k 1545044185.690 * [misc]backup-simplify: Simplify 0 into 0 1545044185.690 * [misc]backup-simplify: Simplify 1 into 1 1545044185.690 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.690 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.690 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.690 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.690 * [misc]backup-simplify: Simplify 2 into 2 1545044185.690 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.690 * [misc]backup-simplify: Simplify PI into PI 1545044185.690 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.690 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.690 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.690 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.691 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044185.691 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545044185.691 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545044185.691 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545044185.691 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545044185.691 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.692 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.692 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.692 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.692 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.692 * [misc]taylor: Taking taylor expansion of k in k 1545044185.692 * [misc]backup-simplify: Simplify 0 into 0 1545044185.692 * [misc]backup-simplify: Simplify 1 into 1 1545044185.692 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.692 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.692 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.692 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.692 * [misc]backup-simplify: Simplify 2 into 2 1545044185.692 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.692 * [misc]backup-simplify: Simplify PI into PI 1545044185.692 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.692 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.692 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.692 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.693 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044185.693 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545044185.694 * [misc]backup-simplify: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 1545044185.694 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044185.696 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044185.696 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044185.696 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.697 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1545044185.699 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1545044185.700 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 1545044185.701 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044185.704 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044185.704 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044185.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.705 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1545044185.708 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1545044185.709 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 1545044185.712 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1545044185.712 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545044185.712 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1545044185.712 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545044185.712 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545044185.712 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545044185.712 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044185.712 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.712 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044185.712 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.712 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.712 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.712 * [misc]taylor: Taking taylor expansion of k in k 1545044185.712 * [misc]backup-simplify: Simplify 0 into 0 1545044185.712 * [misc]backup-simplify: Simplify 1 into 1 1545044185.713 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.713 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.713 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.713 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.713 * [misc]backup-simplify: Simplify 2 into 2 1545044185.713 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.713 * [misc]backup-simplify: Simplify PI into PI 1545044185.713 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.713 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.713 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044185.713 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.714 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545044185.714 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545044185.714 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545044185.714 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545044185.714 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545044185.714 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044185.714 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.714 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044185.714 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.714 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.714 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.714 * [misc]taylor: Taking taylor expansion of k in k 1545044185.714 * [misc]backup-simplify: Simplify 0 into 0 1545044185.714 * [misc]backup-simplify: Simplify 1 into 1 1545044185.715 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.715 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.715 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.715 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.715 * [misc]backup-simplify: Simplify 2 into 2 1545044185.715 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.715 * [misc]backup-simplify: Simplify PI into PI 1545044185.715 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.715 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.715 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044185.715 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.716 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545044185.716 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545044185.716 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545044185.716 * [misc]backup-simplify: Simplify 0 into 0 1545044185.716 * [misc]backup-simplify: Simplify 0 into 0 1545044185.716 * [misc]backup-simplify: Simplify 0 into 0 1545044185.716 * [misc]backup-simplify: Simplify 0 into 0 1545044185.716 * [misc]backup-simplify: Simplify 0 into 0 1545044185.717 * [misc]backup-simplify: Simplify 0 into 0 1545044185.717 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1545044185.717 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545044185.717 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1545044185.717 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545044185.717 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545044185.717 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545044185.717 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044185.717 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.717 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044185.717 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.717 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.717 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044185.717 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.717 * [misc]backup-simplify: Simplify -1 into -1 1545044185.717 * [misc]taylor: Taking taylor expansion of k in k 1545044185.717 * [misc]backup-simplify: Simplify 0 into 0 1545044185.717 * [misc]backup-simplify: Simplify 1 into 1 1545044185.717 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.717 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.717 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.717 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.717 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.717 * [misc]backup-simplify: Simplify 2 into 2 1545044185.717 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.717 * [misc]backup-simplify: Simplify PI into PI 1545044185.718 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.718 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.718 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044185.718 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044185.719 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044185.719 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545044185.719 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545044185.719 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545044185.719 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545044185.719 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044185.719 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.719 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044185.719 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.719 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.719 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044185.719 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.719 * [misc]backup-simplify: Simplify -1 into -1 1545044185.719 * [misc]taylor: Taking taylor expansion of k in k 1545044185.719 * [misc]backup-simplify: Simplify 0 into 0 1545044185.719 * [misc]backup-simplify: Simplify 1 into 1 1545044185.719 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.719 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.720 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.720 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.720 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.720 * [misc]backup-simplify: Simplify 2 into 2 1545044185.720 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.720 * [misc]backup-simplify: Simplify PI into PI 1545044185.720 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.720 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.720 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044185.721 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044185.721 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044185.722 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545044185.722 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545044185.722 * [misc]backup-simplify: Simplify 0 into 0 1545044185.722 * [misc]backup-simplify: Simplify 0 into 0 1545044185.722 * [misc]backup-simplify: Simplify 0 into 0 1545044185.722 * [misc]backup-simplify: Simplify 0 into 0 1545044185.722 * [misc]backup-simplify: Simplify 0 into 0 1545044185.723 * [misc]backup-simplify: Simplify 0 into 0 1545044185.723 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1545044185.723 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1545044185.724 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) into (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 1545044185.724 * [misc]approximate: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in (k n) around 0 1545044185.724 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1545044185.724 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044185.724 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044185.724 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044185.724 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044185.724 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.724 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044185.724 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.724 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.724 * [misc]taylor: Taking taylor expansion of k in n 1545044185.724 * [misc]backup-simplify: Simplify k into k 1545044185.724 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.724 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.724 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044185.724 * [misc]taylor: Taking taylor expansion of n in n 1545044185.724 * [misc]backup-simplify: Simplify 0 into 0 1545044185.724 * [misc]backup-simplify: Simplify 1 into 1 1545044185.725 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.725 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044185.725 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044185.725 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.725 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044185.725 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044185.725 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1545044185.725 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1545044185.725 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1545044185.725 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044185.725 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.725 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044185.725 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.725 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.726 * [misc]taylor: Taking taylor expansion of k in n 1545044185.726 * [misc]backup-simplify: Simplify k into k 1545044185.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.726 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044185.726 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044185.726 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.726 * [misc]backup-simplify: Simplify 2 into 2 1545044185.726 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.726 * [misc]backup-simplify: Simplify PI into PI 1545044185.726 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.726 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.727 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044185.727 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044185.727 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1545044185.728 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1545044185.728 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1545044185.728 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044185.728 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044185.728 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044185.728 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.728 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.728 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.728 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.728 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.728 * [misc]taylor: Taking taylor expansion of k in k 1545044185.728 * [misc]backup-simplify: Simplify 0 into 0 1545044185.728 * [misc]backup-simplify: Simplify 1 into 1 1545044185.728 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.728 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044185.728 * [misc]taylor: Taking taylor expansion of n in k 1545044185.728 * [misc]backup-simplify: Simplify n into n 1545044185.728 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044185.728 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.729 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.729 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044185.729 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044185.729 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545044185.729 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545044185.729 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545044185.729 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.729 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.729 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.729 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.729 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.729 * [misc]taylor: Taking taylor expansion of k in k 1545044185.729 * [misc]backup-simplify: Simplify 0 into 0 1545044185.729 * [misc]backup-simplify: Simplify 1 into 1 1545044185.729 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.729 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.729 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.729 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.729 * [misc]backup-simplify: Simplify 2 into 2 1545044185.729 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.729 * [misc]backup-simplify: Simplify PI into PI 1545044185.729 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.730 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.730 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.730 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.731 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044185.732 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545044185.732 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1545044185.732 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044185.732 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044185.732 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044185.732 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.732 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.732 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.732 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.732 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.732 * [misc]taylor: Taking taylor expansion of k in k 1545044185.732 * [misc]backup-simplify: Simplify 0 into 0 1545044185.732 * [misc]backup-simplify: Simplify 1 into 1 1545044185.732 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.732 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.732 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044185.732 * [misc]taylor: Taking taylor expansion of n in k 1545044185.732 * [misc]backup-simplify: Simplify n into n 1545044185.732 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044185.733 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.733 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.733 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044185.733 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044185.733 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545044185.733 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545044185.733 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545044185.733 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.733 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.733 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.733 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.733 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.733 * [misc]taylor: Taking taylor expansion of k in k 1545044185.733 * [misc]backup-simplify: Simplify 0 into 0 1545044185.733 * [misc]backup-simplify: Simplify 1 into 1 1545044185.733 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.733 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.733 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.733 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.733 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.733 * [misc]backup-simplify: Simplify 2 into 2 1545044185.733 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.733 * [misc]backup-simplify: Simplify PI into PI 1545044185.734 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.734 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.734 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.734 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.735 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044185.736 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545044185.737 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1545044185.737 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1545044185.737 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1545044185.737 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.737 * [misc]backup-simplify: Simplify PI into PI 1545044185.737 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1545044185.737 * [misc]taylor: Taking taylor expansion of n in n 1545044185.737 * [misc]backup-simplify: Simplify 0 into 0 1545044185.737 * [misc]backup-simplify: Simplify 1 into 1 1545044185.737 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.737 * [misc]backup-simplify: Simplify 2 into 2 1545044185.737 * [misc]backup-simplify: Simplify (* 0 2) into 0 1545044185.737 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044185.738 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1545044185.738 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1545044185.738 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.739 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044185.739 * [misc]backup-simplify: Simplify 0 into 0 1545044185.740 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044185.742 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044185.743 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044185.743 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.744 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1545044185.748 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1545044185.749 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044185.749 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044185.749 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.749 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545044185.750 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545044185.752 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1545044185.752 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1545044185.752 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1545044185.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1545044185.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.752 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1545044185.752 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1545044185.752 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044185.752 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.752 * [misc]backup-simplify: Simplify 2 into 2 1545044185.753 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044185.753 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044185.753 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044185.753 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044185.753 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.753 * [misc]backup-simplify: Simplify 2 into 2 1545044185.753 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.753 * [misc]backup-simplify: Simplify PI into PI 1545044185.753 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.754 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.754 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044185.754 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044185.754 * [misc]taylor: Taking taylor expansion of n in n 1545044185.754 * [misc]backup-simplify: Simplify 0 into 0 1545044185.754 * [misc]backup-simplify: Simplify 1 into 1 1545044185.754 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.754 * [misc]backup-simplify: Simplify PI into PI 1545044185.754 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044185.755 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044185.755 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.755 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044185.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545044185.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.755 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545044185.755 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044185.755 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044185.756 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.756 * [misc]backup-simplify: Simplify 2 into 2 1545044185.756 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044185.756 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044185.756 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044185.756 * [misc]taylor: Taking taylor expansion of n in n 1545044185.756 * [misc]backup-simplify: Simplify 0 into 0 1545044185.756 * [misc]backup-simplify: Simplify 1 into 1 1545044185.756 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.756 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044185.756 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044185.756 * [misc]taylor: Taking taylor expansion of n in n 1545044185.756 * [misc]backup-simplify: Simplify 0 into 0 1545044185.756 * [misc]backup-simplify: Simplify 1 into 1 1545044185.756 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.756 * [misc]backup-simplify: Simplify PI into PI 1545044185.757 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044185.757 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044185.757 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.758 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044185.759 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1545044185.760 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1545044185.760 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044185.760 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.760 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044185.761 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545044185.761 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044185.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.761 * [misc]backup-simplify: Simplify (- 0) into 0 1545044185.761 * [misc]backup-simplify: Simplify 0 into 0 1545044185.761 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1545044185.763 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044185.767 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044185.768 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044185.768 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1545044185.774 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1545044185.776 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044185.776 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044185.776 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545044185.778 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044185.783 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1545044185.783 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) in n 1545044185.783 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1545044185.783 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545044185.783 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545044185.783 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1545044185.783 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1545044185.783 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044185.783 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.783 * [misc]backup-simplify: Simplify 2 into 2 1545044185.783 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044185.784 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044185.784 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1545044185.784 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044185.784 * [misc]taylor: Taking taylor expansion of n in n 1545044185.784 * [misc]backup-simplify: Simplify 0 into 0 1545044185.784 * [misc]backup-simplify: Simplify 1 into 1 1545044185.784 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.784 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.784 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044185.784 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044185.784 * [misc]taylor: Taking taylor expansion of n in n 1545044185.784 * [misc]backup-simplify: Simplify 0 into 0 1545044185.784 * [misc]backup-simplify: Simplify 1 into 1 1545044185.784 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.784 * [misc]backup-simplify: Simplify PI into PI 1545044185.784 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044185.785 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044185.785 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.786 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044185.786 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))) in n 1545044185.786 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1545044185.786 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545044185.786 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545044185.786 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1545044185.786 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1545044185.786 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044185.786 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.786 * [misc]backup-simplify: Simplify 2 into 2 1545044185.786 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044185.786 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044185.786 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1545044185.786 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044185.786 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044185.786 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.786 * [misc]backup-simplify: Simplify 2 into 2 1545044185.786 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.787 * [misc]backup-simplify: Simplify PI into PI 1545044185.787 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.787 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.787 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044185.787 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044185.787 * [misc]taylor: Taking taylor expansion of n in n 1545044185.787 * [misc]backup-simplify: Simplify 0 into 0 1545044185.787 * [misc]backup-simplify: Simplify 1 into 1 1545044185.787 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.787 * [misc]backup-simplify: Simplify PI into PI 1545044185.788 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044185.788 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044185.788 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.789 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044185.789 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1545044185.789 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545044185.789 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545044185.789 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1545044185.789 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1545044185.789 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044185.789 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.789 * [misc]backup-simplify: Simplify 2 into 2 1545044185.789 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044185.789 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044185.789 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1545044185.790 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044185.790 * [misc]taylor: Taking taylor expansion of n in n 1545044185.790 * [misc]backup-simplify: Simplify 0 into 0 1545044185.790 * [misc]backup-simplify: Simplify 1 into 1 1545044185.790 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.790 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044185.790 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044185.790 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.790 * [misc]backup-simplify: Simplify 2 into 2 1545044185.790 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.790 * [misc]backup-simplify: Simplify PI into PI 1545044185.790 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.791 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.791 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044185.791 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044185.791 * [misc]taylor: Taking taylor expansion of n in n 1545044185.791 * [misc]backup-simplify: Simplify 0 into 0 1545044185.791 * [misc]backup-simplify: Simplify 1 into 1 1545044185.791 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.791 * [misc]backup-simplify: Simplify PI into PI 1545044185.791 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044185.791 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044185.792 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.792 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044185.792 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.792 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.793 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1545044185.793 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1545044185.793 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1545044185.793 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545044185.794 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1545044185.795 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1545044185.796 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1545044185.796 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545044185.796 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.796 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1545044185.796 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1545044185.797 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1545044185.797 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545044185.797 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.797 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.797 * [misc]backup-simplify: Simplify 0 into 0 1545044185.798 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044185.799 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044185.800 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1545044185.801 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1545044185.803 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1545044185.805 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044185.805 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.805 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1545044185.805 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044185.806 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044185.807 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545044185.808 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545044185.810 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545044185.810 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1545044185.811 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1545044185.812 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545044185.812 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1545044185.815 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 2)) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))) 1545044185.816 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545044185.816 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in (k n) around 0 1545044185.816 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044185.816 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545044185.816 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545044185.816 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545044185.816 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044185.816 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.816 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044185.816 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.816 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.816 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044185.816 * [misc]taylor: Taking taylor expansion of k in n 1545044185.816 * [misc]backup-simplify: Simplify k into k 1545044185.816 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044185.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.816 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044185.816 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044185.816 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.816 * [misc]backup-simplify: Simplify 2 into 2 1545044185.816 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.816 * [misc]backup-simplify: Simplify PI into PI 1545044185.816 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.816 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.817 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044185.817 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044185.817 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545044185.817 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545044185.817 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044185.817 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044185.817 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044185.817 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044185.817 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.817 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044185.818 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.818 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.818 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044185.818 * [misc]taylor: Taking taylor expansion of k in n 1545044185.818 * [misc]backup-simplify: Simplify k into k 1545044185.818 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044185.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.818 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044185.818 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044185.818 * [misc]taylor: Taking taylor expansion of n in n 1545044185.818 * [misc]backup-simplify: Simplify 0 into 0 1545044185.818 * [misc]backup-simplify: Simplify 1 into 1 1545044185.818 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.818 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.818 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044185.818 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044185.818 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044185.818 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044185.818 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044185.818 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044185.818 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545044185.818 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545044185.819 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545044185.819 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044185.819 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.819 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044185.819 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.819 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.819 * [misc]taylor: Taking taylor expansion of k in k 1545044185.819 * [misc]backup-simplify: Simplify 0 into 0 1545044185.819 * [misc]backup-simplify: Simplify 1 into 1 1545044185.819 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.819 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.819 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.819 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.819 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.819 * [misc]backup-simplify: Simplify 2 into 2 1545044185.819 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.819 * [misc]backup-simplify: Simplify PI into PI 1545044185.819 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.820 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.820 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044185.820 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.821 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545044185.821 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545044185.821 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044185.821 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044185.821 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044185.821 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044185.821 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.821 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044185.821 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.821 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.821 * [misc]taylor: Taking taylor expansion of k in k 1545044185.822 * [misc]backup-simplify: Simplify 0 into 0 1545044185.822 * [misc]backup-simplify: Simplify 1 into 1 1545044185.822 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.822 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.822 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044185.822 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044185.822 * [misc]taylor: Taking taylor expansion of n in k 1545044185.822 * [misc]backup-simplify: Simplify n into n 1545044185.822 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044185.822 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044185.822 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044185.822 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.822 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044185.823 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044185.823 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044185.823 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545044185.823 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545044185.823 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545044185.823 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044185.823 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.823 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044185.823 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.823 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.823 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.823 * [misc]taylor: Taking taylor expansion of k in k 1545044185.823 * [misc]backup-simplify: Simplify 0 into 0 1545044185.823 * [misc]backup-simplify: Simplify 1 into 1 1545044185.823 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.823 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.823 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.823 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.823 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.823 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.823 * [misc]backup-simplify: Simplify 2 into 2 1545044185.823 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.823 * [misc]backup-simplify: Simplify PI into PI 1545044185.824 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.824 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.824 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044185.824 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.825 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545044185.826 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545044185.826 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044185.826 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044185.826 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044185.826 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044185.826 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.826 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044185.826 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.826 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.826 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.826 * [misc]taylor: Taking taylor expansion of k in k 1545044185.826 * [misc]backup-simplify: Simplify 0 into 0 1545044185.826 * [misc]backup-simplify: Simplify 1 into 1 1545044185.826 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.826 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.826 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.826 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044185.826 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044185.826 * [misc]taylor: Taking taylor expansion of n in k 1545044185.826 * [misc]backup-simplify: Simplify n into n 1545044185.826 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044185.826 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044185.827 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044185.827 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.827 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044185.827 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044185.828 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545044185.828 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044185.828 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545044185.828 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545044185.828 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545044185.828 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044185.828 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.828 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044185.828 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.828 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.828 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044185.828 * [misc]taylor: Taking taylor expansion of k in n 1545044185.828 * [misc]backup-simplify: Simplify k into k 1545044185.828 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044185.828 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.828 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044185.828 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044185.828 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.828 * [misc]backup-simplify: Simplify 2 into 2 1545044185.828 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.828 * [misc]backup-simplify: Simplify PI into PI 1545044185.828 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.829 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.829 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044185.829 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044185.830 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545044185.830 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545044185.830 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044185.830 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044185.830 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044185.830 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044185.830 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044185.831 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044185.831 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.831 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.831 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044185.831 * [misc]taylor: Taking taylor expansion of k in n 1545044185.831 * [misc]backup-simplify: Simplify k into k 1545044185.831 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044185.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.831 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044185.831 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044185.831 * [misc]taylor: Taking taylor expansion of n in n 1545044185.831 * [misc]backup-simplify: Simplify 0 into 0 1545044185.831 * [misc]backup-simplify: Simplify 1 into 1 1545044185.832 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.832 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.832 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044185.832 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044185.832 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044185.832 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044185.832 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044185.833 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545044185.834 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545044185.834 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1545044185.834 * [misc]taylor: Taking taylor expansion of 0 in n 1545044185.834 * [misc]backup-simplify: Simplify 0 into 0 1545044185.834 * [misc]backup-simplify: Simplify 0 into 0 1545044185.834 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044185.837 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044185.837 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044185.837 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044185.837 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.837 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044185.838 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545044185.839 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044185.839 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044185.842 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044185.842 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044185.842 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044185.843 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.843 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1545044185.845 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044185.845 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1545044185.845 * [misc]backup-simplify: Simplify 0 into 0 1545044185.846 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545044185.846 * [misc]taylor: Taking taylor expansion of 0 in n 1545044185.846 * [misc]backup-simplify: Simplify 0 into 0 1545044185.846 * [misc]backup-simplify: Simplify 0 into 0 1545044185.846 * [misc]backup-simplify: Simplify 0 into 0 1545044185.847 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044185.851 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545044185.851 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044185.851 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044185.851 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.852 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044185.852 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545044185.854 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044185.855 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044185.860 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044185.860 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044185.860 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044185.860 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.862 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 1545044185.865 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044185.866 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1545044185.866 * [misc]backup-simplify: Simplify 0 into 0 1545044185.867 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044185.867 * [misc]taylor: Taking taylor expansion of 0 in n 1545044185.867 * [misc]backup-simplify: Simplify 0 into 0 1545044185.867 * [misc]backup-simplify: Simplify 0 into 0 1545044185.867 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1545044185.868 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) into (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1545044185.868 * [misc]approximate: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in (k n) around 0 1545044185.868 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044185.868 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044185.868 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044185.868 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044185.868 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044185.868 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.868 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044185.868 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.868 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.868 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044185.868 * [misc]taylor: Taking taylor expansion of -1 in n 1545044185.868 * [misc]backup-simplify: Simplify -1 into -1 1545044185.869 * [misc]taylor: Taking taylor expansion of k in n 1545044185.869 * [misc]backup-simplify: Simplify k into k 1545044185.869 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044185.869 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.869 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044185.869 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044185.869 * [misc]taylor: Taking taylor expansion of -1 in n 1545044185.869 * [misc]backup-simplify: Simplify -1 into -1 1545044185.869 * [misc]taylor: Taking taylor expansion of n in n 1545044185.869 * [misc]backup-simplify: Simplify 0 into 0 1545044185.869 * [misc]backup-simplify: Simplify 1 into 1 1545044185.869 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.869 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044185.869 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044185.869 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044185.870 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044185.870 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044185.870 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044185.870 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044185.870 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545044185.870 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545044185.871 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044185.871 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.871 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044185.871 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.871 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.871 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044185.871 * [misc]taylor: Taking taylor expansion of -1 in n 1545044185.871 * [misc]backup-simplify: Simplify -1 into -1 1545044185.871 * [misc]taylor: Taking taylor expansion of k in n 1545044185.871 * [misc]backup-simplify: Simplify k into k 1545044185.871 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044185.871 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.871 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044185.871 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044185.871 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.871 * [misc]backup-simplify: Simplify 2 into 2 1545044185.871 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.871 * [misc]backup-simplify: Simplify PI into PI 1545044185.871 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.872 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.872 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044185.872 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044185.873 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545044185.873 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044185.873 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1545044185.873 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044185.873 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044185.873 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044185.873 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044185.873 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.873 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044185.873 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.873 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.873 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044185.873 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.873 * [misc]backup-simplify: Simplify -1 into -1 1545044185.873 * [misc]taylor: Taking taylor expansion of k in k 1545044185.874 * [misc]backup-simplify: Simplify 0 into 0 1545044185.874 * [misc]backup-simplify: Simplify 1 into 1 1545044185.874 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.874 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.874 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044185.874 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044185.874 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.874 * [misc]backup-simplify: Simplify -1 into -1 1545044185.874 * [misc]taylor: Taking taylor expansion of n in k 1545044185.874 * [misc]backup-simplify: Simplify n into n 1545044185.874 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044185.874 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044185.874 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044185.874 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044185.874 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044185.875 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044185.875 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545044185.875 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545044185.875 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545044185.875 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044185.875 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.875 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044185.875 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.875 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.875 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044185.875 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.875 * [misc]backup-simplify: Simplify -1 into -1 1545044185.875 * [misc]taylor: Taking taylor expansion of k in k 1545044185.875 * [misc]backup-simplify: Simplify 0 into 0 1545044185.875 * [misc]backup-simplify: Simplify 1 into 1 1545044185.875 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.875 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.875 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.875 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.875 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.875 * [misc]backup-simplify: Simplify 2 into 2 1545044185.875 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.876 * [misc]backup-simplify: Simplify PI into PI 1545044185.876 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.876 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.876 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044185.877 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044185.877 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044185.878 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545044185.878 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1545044185.878 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044185.878 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044185.878 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044185.878 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044185.878 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.878 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044185.878 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.878 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.878 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044185.878 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.878 * [misc]backup-simplify: Simplify -1 into -1 1545044185.878 * [misc]taylor: Taking taylor expansion of k in k 1545044185.878 * [misc]backup-simplify: Simplify 0 into 0 1545044185.878 * [misc]backup-simplify: Simplify 1 into 1 1545044185.878 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.879 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.879 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.879 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044185.879 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044185.879 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.879 * [misc]backup-simplify: Simplify -1 into -1 1545044185.879 * [misc]taylor: Taking taylor expansion of n in k 1545044185.879 * [misc]backup-simplify: Simplify n into n 1545044185.879 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044185.879 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044185.879 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044185.879 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044185.879 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044185.879 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044185.879 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545044185.879 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545044185.879 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545044185.879 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044185.880 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.880 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044185.880 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.880 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.880 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044185.880 * [misc]taylor: Taking taylor expansion of -1 in k 1545044185.880 * [misc]backup-simplify: Simplify -1 into -1 1545044185.880 * [misc]taylor: Taking taylor expansion of k in k 1545044185.880 * [misc]backup-simplify: Simplify 0 into 0 1545044185.880 * [misc]backup-simplify: Simplify 1 into 1 1545044185.880 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.880 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.880 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.880 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.880 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.880 * [misc]backup-simplify: Simplify 2 into 2 1545044185.880 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.880 * [misc]backup-simplify: Simplify PI into PI 1545044185.880 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.881 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.881 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044185.881 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044185.882 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044185.882 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545044185.883 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1545044185.883 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044185.883 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044185.883 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044185.883 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044185.883 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044185.883 * [misc]taylor: Taking taylor expansion of -1 in n 1545044185.883 * [misc]backup-simplify: Simplify -1 into -1 1545044185.883 * [misc]taylor: Taking taylor expansion of n in n 1545044185.883 * [misc]backup-simplify: Simplify 0 into 0 1545044185.883 * [misc]backup-simplify: Simplify 1 into 1 1545044185.884 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044185.884 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044185.884 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044185.884 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.884 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044185.884 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.884 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.884 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044185.884 * [misc]taylor: Taking taylor expansion of -1 in n 1545044185.884 * [misc]backup-simplify: Simplify -1 into -1 1545044185.884 * [misc]taylor: Taking taylor expansion of k in n 1545044185.884 * [misc]backup-simplify: Simplify k into k 1545044185.884 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044185.884 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044185.885 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044185.885 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044185.885 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044185.885 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044185.886 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044185.886 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545044185.886 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545044185.886 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044185.886 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044185.886 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044185.886 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.886 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.886 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044185.886 * [misc]taylor: Taking taylor expansion of -1 in n 1545044185.886 * [misc]backup-simplify: Simplify -1 into -1 1545044185.886 * [misc]taylor: Taking taylor expansion of k in n 1545044185.886 * [misc]backup-simplify: Simplify k into k 1545044185.886 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044185.886 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.886 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044185.886 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044185.886 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.886 * [misc]backup-simplify: Simplify 2 into 2 1545044185.886 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.886 * [misc]backup-simplify: Simplify PI into PI 1545044185.887 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.887 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.887 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044185.887 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044185.888 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545044185.888 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044185.889 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044185.890 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044185.890 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1545044185.890 * [misc]taylor: Taking taylor expansion of 0 in n 1545044185.891 * [misc]backup-simplify: Simplify 0 into 0 1545044185.891 * [misc]backup-simplify: Simplify 0 into 0 1545044185.892 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044185.895 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044185.895 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044185.895 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044185.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.896 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1545044185.898 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044185.898 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044185.898 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044185.899 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044185.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.899 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044185.902 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545044185.902 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044185.903 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044185.904 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545044185.904 * [misc]backup-simplify: Simplify 0 into 0 1545044185.905 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1545044185.905 * [misc]taylor: Taking taylor expansion of 0 in n 1545044185.905 * [misc]backup-simplify: Simplify 0 into 0 1545044185.905 * [misc]backup-simplify: Simplify 0 into 0 1545044185.905 * [misc]backup-simplify: Simplify 0 into 0 1545044185.906 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044185.911 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044185.911 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044185.912 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545044185.912 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.913 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 1545044185.916 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044185.916 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044185.916 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044185.917 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545044185.917 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.917 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044185.921 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545044185.922 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545044185.924 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044185.925 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545044185.925 * [misc]backup-simplify: Simplify 0 into 0 1545044185.925 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545044185.925 * [misc]taylor: Taking taylor expansion of 0 in n 1545044185.926 * [misc]backup-simplify: Simplify 0 into 0 1545044185.926 * [misc]backup-simplify: Simplify 0 into 0 1545044185.926 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1545044185.926 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545044185.927 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k)) into (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) 1545044185.927 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in (k n) around 0 1545044185.927 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in n 1545044185.927 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545044185.927 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044185.927 * [misc]taylor: Taking taylor expansion of k in n 1545044185.927 * [misc]backup-simplify: Simplify k into k 1545044185.927 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044185.927 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545044185.928 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044185.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545044185.928 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1545044185.928 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044185.928 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044185.928 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044185.928 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044185.928 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.928 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044185.928 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.928 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.928 * [misc]taylor: Taking taylor expansion of k in n 1545044185.928 * [misc]backup-simplify: Simplify k into k 1545044185.928 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.928 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044185.928 * [misc]taylor: Taking taylor expansion of n in n 1545044185.928 * [misc]backup-simplify: Simplify 0 into 0 1545044185.928 * [misc]backup-simplify: Simplify 1 into 1 1545044185.928 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.928 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044185.928 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044185.929 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.929 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044185.929 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044185.929 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1545044185.929 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1545044185.929 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1545044185.929 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044185.929 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.929 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044185.929 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044185.929 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.929 * [misc]taylor: Taking taylor expansion of k in n 1545044185.929 * [misc]backup-simplify: Simplify k into k 1545044185.929 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044185.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.929 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044185.929 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044185.929 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.929 * [misc]backup-simplify: Simplify 2 into 2 1545044185.929 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.930 * [misc]backup-simplify: Simplify PI into PI 1545044185.930 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.930 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.930 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044185.930 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044185.931 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1545044185.932 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1545044185.932 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1545044185.932 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545044185.932 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.932 * [misc]taylor: Taking taylor expansion of k in k 1545044185.932 * [misc]backup-simplify: Simplify 0 into 0 1545044185.932 * [misc]backup-simplify: Simplify 1 into 1 1545044185.932 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.932 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.933 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044185.933 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1545044185.933 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044185.933 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044185.933 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044185.933 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.933 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.933 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.933 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.933 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.933 * [misc]taylor: Taking taylor expansion of k in k 1545044185.933 * [misc]backup-simplify: Simplify 0 into 0 1545044185.933 * [misc]backup-simplify: Simplify 1 into 1 1545044185.933 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.933 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044185.933 * [misc]taylor: Taking taylor expansion of n in k 1545044185.933 * [misc]backup-simplify: Simplify n into n 1545044185.933 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044185.933 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.934 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.934 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044185.934 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044185.934 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545044185.934 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545044185.934 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545044185.934 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.934 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.934 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.934 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.934 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.934 * [misc]taylor: Taking taylor expansion of k in k 1545044185.934 * [misc]backup-simplify: Simplify 0 into 0 1545044185.934 * [misc]backup-simplify: Simplify 1 into 1 1545044185.934 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.934 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.934 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.934 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.934 * [misc]backup-simplify: Simplify 2 into 2 1545044185.934 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.934 * [misc]backup-simplify: Simplify PI into PI 1545044185.935 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.935 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.935 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.935 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.936 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044185.937 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545044185.937 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1545044185.937 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545044185.937 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044185.937 * [misc]taylor: Taking taylor expansion of k in k 1545044185.937 * [misc]backup-simplify: Simplify 0 into 0 1545044185.937 * [misc]backup-simplify: Simplify 1 into 1 1545044185.937 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044185.938 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.938 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044185.938 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1545044185.938 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044185.938 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044185.938 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044185.938 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.938 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.938 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.938 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.938 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.938 * [misc]taylor: Taking taylor expansion of k in k 1545044185.938 * [misc]backup-simplify: Simplify 0 into 0 1545044185.938 * [misc]backup-simplify: Simplify 1 into 1 1545044185.938 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.938 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.938 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044185.939 * [misc]taylor: Taking taylor expansion of n in k 1545044185.939 * [misc]backup-simplify: Simplify n into n 1545044185.939 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044185.939 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.939 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.939 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044185.939 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044185.939 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545044185.939 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545044185.939 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545044185.939 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044185.939 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044185.939 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044185.939 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044185.939 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044185.939 * [misc]taylor: Taking taylor expansion of k in k 1545044185.939 * [misc]backup-simplify: Simplify 0 into 0 1545044185.939 * [misc]backup-simplify: Simplify 1 into 1 1545044185.939 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044185.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044185.940 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044185.940 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044185.940 * [misc]taylor: Taking taylor expansion of 2 in k 1545044185.940 * [misc]backup-simplify: Simplify 2 into 2 1545044185.940 * [misc]taylor: Taking taylor expansion of PI in k 1545044185.940 * [misc]backup-simplify: Simplify PI into PI 1545044185.940 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.940 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.941 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044185.941 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044185.941 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044185.942 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545044185.943 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1545044185.943 * [misc]backup-simplify: Simplify (* 0 (sqrt (* PI (* n 2)))) into 0 1545044185.943 * [misc]taylor: Taking taylor expansion of 0 in n 1545044185.943 * [misc]backup-simplify: Simplify 0 into 0 1545044185.943 * [misc]backup-simplify: Simplify 0 into 0 1545044185.944 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044185.945 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044185.945 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044185.946 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.946 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1545044185.949 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1545044185.949 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044185.949 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044185.949 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044185.950 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545044185.950 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545044185.951 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1545044185.953 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545044185.953 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545044185.953 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545044185.953 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044185.953 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044185.953 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545044185.953 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044185.953 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.953 * [misc]backup-simplify: Simplify 2 into 2 1545044185.953 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044185.953 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044185.953 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044185.953 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044185.953 * [misc]taylor: Taking taylor expansion of n in n 1545044185.953 * [misc]backup-simplify: Simplify 0 into 0 1545044185.953 * [misc]backup-simplify: Simplify 1 into 1 1545044185.953 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.953 * [misc]backup-simplify: Simplify PI into PI 1545044185.953 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044185.954 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044185.954 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.954 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044185.954 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545044185.954 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044185.954 * [misc]backup-simplify: Simplify (- 0) into 0 1545044185.954 * [misc]backup-simplify: Simplify 0 into 0 1545044185.955 * [misc]backup-simplify: Simplify 0 into 0 1545044185.955 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545044185.958 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545044185.958 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044185.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.959 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1545044185.962 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1545044185.963 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044185.963 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044185.964 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.964 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545044185.965 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044185.968 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1545044185.968 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044185.969 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044185.972 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1545044185.972 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1545044185.972 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1545044185.972 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545044185.972 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044185.972 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044185.972 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545044185.972 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044185.972 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044185.972 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.972 * [misc]backup-simplify: Simplify 2 into 2 1545044185.972 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044185.972 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044185.972 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044185.972 * [misc]taylor: Taking taylor expansion of n in n 1545044185.972 * [misc]backup-simplify: Simplify 0 into 0 1545044185.972 * [misc]backup-simplify: Simplify 1 into 1 1545044185.972 * [misc]backup-simplify: Simplify (log 1) into 0 1545044185.972 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044185.972 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044185.972 * [misc]taylor: Taking taylor expansion of n in n 1545044185.972 * [misc]backup-simplify: Simplify 0 into 0 1545044185.972 * [misc]backup-simplify: Simplify 1 into 1 1545044185.972 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.972 * [misc]backup-simplify: Simplify PI into PI 1545044185.973 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044185.973 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044185.973 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.973 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044185.973 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1545044185.974 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1545044185.974 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1545044185.974 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044185.974 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044185.974 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1545044185.974 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1545044185.974 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044185.974 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.974 * [misc]backup-simplify: Simplify 2 into 2 1545044185.974 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044185.974 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044185.974 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044185.974 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044185.974 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.974 * [misc]backup-simplify: Simplify 2 into 2 1545044185.974 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.974 * [misc]backup-simplify: Simplify PI into PI 1545044185.974 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044185.974 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044185.974 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044185.975 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044185.975 * [misc]taylor: Taking taylor expansion of n in n 1545044185.975 * [misc]backup-simplify: Simplify 0 into 0 1545044185.975 * [misc]backup-simplify: Simplify 1 into 1 1545044185.975 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.975 * [misc]backup-simplify: Simplify PI into PI 1545044185.975 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044185.975 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044185.975 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.976 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044185.976 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545044185.976 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545044185.976 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044185.976 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044185.976 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545044185.976 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044185.976 * [misc]taylor: Taking taylor expansion of 2 in n 1545044185.976 * [misc]backup-simplify: Simplify 2 into 2 1545044185.976 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044185.976 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044185.976 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044185.976 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044185.976 * [misc]taylor: Taking taylor expansion of n in n 1545044185.976 * [misc]backup-simplify: Simplify 0 into 0 1545044185.976 * [misc]backup-simplify: Simplify 1 into 1 1545044185.976 * [misc]taylor: Taking taylor expansion of PI in n 1545044185.976 * [misc]backup-simplify: Simplify PI into PI 1545044185.976 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044185.977 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044185.977 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044185.977 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044185.977 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044185.977 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044185.977 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545044185.978 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044185.978 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1545044185.979 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1545044185.979 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044185.979 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545044185.979 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044185.979 * [misc]backup-simplify: Simplify (- 0) into 0 1545044185.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.979 * [misc]backup-simplify: Simplify (- 0) into 0 1545044185.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.980 * [misc]backup-simplify: Simplify (- 0) into 0 1545044185.980 * [misc]backup-simplify: Simplify 0 into 0 1545044185.980 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044185.981 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044185.982 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044185.983 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044185.983 * [misc]backup-simplify: Simplify 0 into 0 1545044185.984 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545044185.988 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1545044185.989 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545044185.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.990 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 1545044185.995 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 1545044185.997 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1545044185.997 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545044185.997 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044185.998 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1545044185.999 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1545044186.006 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 1545044186.007 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044186.008 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044186.019 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI))))))))) (+ (* +nan.0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) 1545044186.019 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) in n 1545044186.019 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))))) in n 1545044186.019 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1545044186.019 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.019 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.019 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1545044186.019 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1545044186.019 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044186.019 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.019 * [misc]backup-simplify: Simplify 2 into 2 1545044186.020 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044186.020 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044186.020 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1545044186.020 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044186.020 * [misc]taylor: Taking taylor expansion of n in n 1545044186.020 * [misc]backup-simplify: Simplify 0 into 0 1545044186.020 * [misc]backup-simplify: Simplify 1 into 1 1545044186.020 * [misc]backup-simplify: Simplify (log 1) into 0 1545044186.020 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044186.020 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044186.020 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044186.020 * [misc]taylor: Taking taylor expansion of n in n 1545044186.020 * [misc]backup-simplify: Simplify 0 into 0 1545044186.020 * [misc]backup-simplify: Simplify 1 into 1 1545044186.020 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.021 * [misc]backup-simplify: Simplify PI into PI 1545044186.021 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044186.021 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044186.022 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044186.022 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044186.022 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))) in n 1545044186.022 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))) in n 1545044186.022 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1545044186.022 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.022 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.022 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1545044186.022 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1545044186.022 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044186.022 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.022 * [misc]backup-simplify: Simplify 2 into 2 1545044186.023 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044186.023 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044186.023 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1545044186.023 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044186.023 * [misc]taylor: Taking taylor expansion of n in n 1545044186.023 * [misc]backup-simplify: Simplify 0 into 0 1545044186.023 * [misc]backup-simplify: Simplify 1 into 1 1545044186.023 * [misc]backup-simplify: Simplify (log 1) into 0 1545044186.023 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.023 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.023 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.023 * [misc]backup-simplify: Simplify 2 into 2 1545044186.023 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.023 * [misc]backup-simplify: Simplify PI into PI 1545044186.024 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.024 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.024 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044186.024 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044186.024 * [misc]taylor: Taking taylor expansion of n in n 1545044186.024 * [misc]backup-simplify: Simplify 0 into 0 1545044186.024 * [misc]backup-simplify: Simplify 1 into 1 1545044186.024 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.024 * [misc]backup-simplify: Simplify PI into PI 1545044186.024 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044186.025 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044186.025 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044186.026 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044186.026 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))) in n 1545044186.026 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))) in n 1545044186.026 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545044186.026 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.026 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.026 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545044186.026 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044186.026 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044186.026 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.026 * [misc]backup-simplify: Simplify 2 into 2 1545044186.026 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044186.026 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044186.026 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044186.026 * [misc]taylor: Taking taylor expansion of n in n 1545044186.026 * [misc]backup-simplify: Simplify 0 into 0 1545044186.026 * [misc]backup-simplify: Simplify 1 into 1 1545044186.027 * [misc]backup-simplify: Simplify (log 1) into 0 1545044186.027 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044186.027 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044186.027 * [misc]taylor: Taking taylor expansion of n in n 1545044186.027 * [misc]backup-simplify: Simplify 0 into 0 1545044186.027 * [misc]backup-simplify: Simplify 1 into 1 1545044186.027 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.027 * [misc]backup-simplify: Simplify PI into PI 1545044186.027 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044186.028 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044186.028 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044186.028 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044186.028 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))) in n 1545044186.028 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))) in n 1545044186.028 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545044186.028 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.028 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.029 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545044186.029 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044186.029 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.029 * [misc]backup-simplify: Simplify 2 into 2 1545044186.029 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044186.029 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044186.029 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044186.029 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044186.029 * [misc]taylor: Taking taylor expansion of n in n 1545044186.029 * [misc]backup-simplify: Simplify 0 into 0 1545044186.029 * [misc]backup-simplify: Simplify 1 into 1 1545044186.029 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.029 * [misc]backup-simplify: Simplify PI into PI 1545044186.029 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044186.030 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044186.030 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044186.031 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044186.031 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))) in n 1545044186.031 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))) in n 1545044186.031 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1545044186.031 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.031 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.031 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1545044186.031 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1545044186.031 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044186.031 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.031 * [misc]backup-simplify: Simplify 2 into 2 1545044186.031 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044186.031 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044186.031 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.031 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.031 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.031 * [misc]backup-simplify: Simplify 2 into 2 1545044186.031 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.031 * [misc]backup-simplify: Simplify PI into PI 1545044186.032 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.032 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.032 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044186.032 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044186.032 * [misc]taylor: Taking taylor expansion of n in n 1545044186.032 * [misc]backup-simplify: Simplify 0 into 0 1545044186.032 * [misc]backup-simplify: Simplify 1 into 1 1545044186.032 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.032 * [misc]backup-simplify: Simplify PI into PI 1545044186.033 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044186.033 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044186.033 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044186.034 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044186.034 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))) in n 1545044186.034 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1545044186.034 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.034 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.034 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1545044186.034 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1545044186.034 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044186.034 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.034 * [misc]backup-simplify: Simplify 2 into 2 1545044186.034 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044186.035 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044186.035 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1545044186.035 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.035 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.035 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.035 * [misc]backup-simplify: Simplify 2 into 2 1545044186.035 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.035 * [misc]backup-simplify: Simplify PI into PI 1545044186.035 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.035 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.035 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044186.036 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044186.036 * [misc]taylor: Taking taylor expansion of n in n 1545044186.036 * [misc]backup-simplify: Simplify 0 into 0 1545044186.036 * [misc]backup-simplify: Simplify 1 into 1 1545044186.036 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.036 * [misc]backup-simplify: Simplify PI into PI 1545044186.036 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044186.036 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044186.037 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044186.037 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044186.037 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044186.038 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044186.038 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1545044186.038 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1545044186.038 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1545044186.038 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044186.039 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044186.039 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1545044186.040 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1545044186.041 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1545044186.041 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044186.041 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044186.041 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044186.042 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545044186.042 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044186.042 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545044186.042 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044186.043 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1545044186.044 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1545044186.044 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044186.046 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1545044186.047 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1545044186.048 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1545044186.049 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044186.049 * [misc]backup-simplify: Simplify (- 0) into 0 1545044186.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044186.049 * [misc]backup-simplify: Simplify (- 0) into 0 1545044186.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044186.049 * [misc]backup-simplify: Simplify (- 0) into 0 1545044186.050 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044186.050 * [misc]backup-simplify: Simplify (- 0) into 0 1545044186.050 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044186.050 * [misc]backup-simplify: Simplify (- 0) into 0 1545044186.050 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044186.050 * [misc]backup-simplify: Simplify (- 0) into 0 1545044186.050 * [misc]backup-simplify: Simplify 0 into 0 1545044186.053 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044186.053 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044186.053 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1545044186.054 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044186.055 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044186.055 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044186.058 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044186.059 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1545044186.061 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1545044186.064 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1545044186.066 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044186.067 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044186.069 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044186.072 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545044186.077 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI))))) 1545044186.081 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1545044186.084 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545044186.087 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545044186.088 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545044186.090 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545044186.091 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545044186.093 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044186.097 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044186.099 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044186.100 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044186.108 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545044186.108 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt (/ 1 k))) into (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) 1545044186.109 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in (k n) around 0 1545044186.109 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in n 1545044186.109 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044186.109 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545044186.109 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545044186.109 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545044186.109 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044186.109 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.109 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044186.109 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.109 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.109 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044186.109 * [misc]taylor: Taking taylor expansion of k in n 1545044186.109 * [misc]backup-simplify: Simplify k into k 1545044186.109 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044186.109 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.109 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.109 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.109 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.109 * [misc]backup-simplify: Simplify 2 into 2 1545044186.109 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.109 * [misc]backup-simplify: Simplify PI into PI 1545044186.110 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.110 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.110 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044186.110 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044186.111 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545044186.111 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545044186.111 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044186.111 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044186.111 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044186.112 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044186.112 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.112 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044186.112 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.112 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.112 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044186.112 * [misc]taylor: Taking taylor expansion of k in n 1545044186.112 * [misc]backup-simplify: Simplify k into k 1545044186.112 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044186.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.112 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044186.112 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044186.112 * [misc]taylor: Taking taylor expansion of n in n 1545044186.112 * [misc]backup-simplify: Simplify 0 into 0 1545044186.112 * [misc]backup-simplify: Simplify 1 into 1 1545044186.112 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044186.112 * [misc]backup-simplify: Simplify (log 1) into 0 1545044186.112 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044186.112 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044186.113 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044186.113 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044186.113 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044186.113 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545044186.113 * [misc]taylor: Taking taylor expansion of k in n 1545044186.113 * [misc]backup-simplify: Simplify k into k 1545044186.113 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545044186.113 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545044186.113 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1545044186.113 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044186.113 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545044186.113 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545044186.114 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545044186.114 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044186.114 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.114 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044186.114 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044186.114 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.114 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044186.114 * [misc]taylor: Taking taylor expansion of k in k 1545044186.114 * [misc]backup-simplify: Simplify 0 into 0 1545044186.114 * [misc]backup-simplify: Simplify 1 into 1 1545044186.114 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044186.114 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044186.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.114 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044186.114 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044186.114 * [misc]taylor: Taking taylor expansion of 2 in k 1545044186.114 * [misc]backup-simplify: Simplify 2 into 2 1545044186.114 * [misc]taylor: Taking taylor expansion of PI in k 1545044186.114 * [misc]backup-simplify: Simplify PI into PI 1545044186.114 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.115 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.115 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044186.115 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044186.116 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545044186.117 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545044186.117 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044186.117 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044186.117 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044186.117 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044186.117 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.117 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044186.117 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044186.117 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.117 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044186.117 * [misc]taylor: Taking taylor expansion of k in k 1545044186.117 * [misc]backup-simplify: Simplify 0 into 0 1545044186.117 * [misc]backup-simplify: Simplify 1 into 1 1545044186.117 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044186.117 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044186.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.117 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044186.117 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044186.117 * [misc]taylor: Taking taylor expansion of n in k 1545044186.117 * [misc]backup-simplify: Simplify n into n 1545044186.117 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044186.118 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044186.118 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044186.118 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044186.118 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044186.118 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044186.118 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545044186.118 * [misc]taylor: Taking taylor expansion of k in k 1545044186.118 * [misc]backup-simplify: Simplify 0 into 0 1545044186.118 * [misc]backup-simplify: Simplify 1 into 1 1545044186.118 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044186.119 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044186.119 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1545044186.119 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044186.119 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545044186.119 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545044186.119 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545044186.119 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044186.119 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.119 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044186.119 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044186.119 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.119 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044186.119 * [misc]taylor: Taking taylor expansion of k in k 1545044186.119 * [misc]backup-simplify: Simplify 0 into 0 1545044186.119 * [misc]backup-simplify: Simplify 1 into 1 1545044186.119 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044186.119 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044186.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.120 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044186.120 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044186.120 * [misc]taylor: Taking taylor expansion of 2 in k 1545044186.120 * [misc]backup-simplify: Simplify 2 into 2 1545044186.120 * [misc]taylor: Taking taylor expansion of PI in k 1545044186.120 * [misc]backup-simplify: Simplify PI into PI 1545044186.120 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.120 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.121 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044186.121 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044186.121 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545044186.122 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545044186.122 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044186.122 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044186.122 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044186.122 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044186.122 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.122 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044186.122 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044186.122 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.122 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044186.122 * [misc]taylor: Taking taylor expansion of k in k 1545044186.122 * [misc]backup-simplify: Simplify 0 into 0 1545044186.122 * [misc]backup-simplify: Simplify 1 into 1 1545044186.123 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044186.123 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044186.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.123 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044186.123 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044186.123 * [misc]taylor: Taking taylor expansion of n in k 1545044186.123 * [misc]backup-simplify: Simplify n into n 1545044186.123 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044186.123 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044186.123 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044186.124 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044186.124 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044186.124 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044186.124 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545044186.124 * [misc]taylor: Taking taylor expansion of k in k 1545044186.124 * [misc]backup-simplify: Simplify 0 into 0 1545044186.124 * [misc]backup-simplify: Simplify 1 into 1 1545044186.124 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044186.125 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044186.125 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545044186.126 * [misc]backup-simplify: Simplify (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 0) into 0 1545044186.126 * [misc]taylor: Taking taylor expansion of 0 in n 1545044186.126 * [misc]backup-simplify: Simplify 0 into 0 1545044186.126 * [misc]backup-simplify: Simplify 0 into 0 1545044186.126 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1545044186.127 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545044186.127 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545044186.127 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545044186.127 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.127 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.127 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044186.127 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545044186.127 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545044186.127 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545044186.127 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044186.127 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.127 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044186.127 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.127 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.127 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044186.127 * [misc]taylor: Taking taylor expansion of k in n 1545044186.127 * [misc]backup-simplify: Simplify k into k 1545044186.127 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044186.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.127 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.127 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.127 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.127 * [misc]backup-simplify: Simplify 2 into 2 1545044186.128 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.128 * [misc]backup-simplify: Simplify PI into PI 1545044186.128 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.128 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.128 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044186.128 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044186.129 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545044186.130 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545044186.130 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044186.130 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044186.130 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044186.130 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044186.130 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.130 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044186.130 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.130 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.130 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044186.130 * [misc]taylor: Taking taylor expansion of k in n 1545044186.130 * [misc]backup-simplify: Simplify k into k 1545044186.130 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044186.130 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.130 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044186.130 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044186.130 * [misc]taylor: Taking taylor expansion of n in n 1545044186.130 * [misc]backup-simplify: Simplify 0 into 0 1545044186.130 * [misc]backup-simplify: Simplify 1 into 1 1545044186.130 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044186.130 * [misc]backup-simplify: Simplify (log 1) into 0 1545044186.131 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044186.131 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044186.131 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044186.131 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044186.131 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044186.132 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545044186.132 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1545044186.133 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545044186.133 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545044186.134 * [misc]backup-simplify: Simplify 0 into 0 1545044186.135 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044186.135 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545044186.136 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545044186.136 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545044186.136 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545044186.136 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.136 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.136 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044186.136 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545044186.136 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545044186.136 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545044186.136 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044186.136 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.136 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044186.136 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.136 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.136 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044186.136 * [misc]taylor: Taking taylor expansion of k in n 1545044186.136 * [misc]backup-simplify: Simplify k into k 1545044186.136 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044186.137 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.137 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.137 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.137 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.137 * [misc]backup-simplify: Simplify 2 into 2 1545044186.137 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.137 * [misc]backup-simplify: Simplify PI into PI 1545044186.137 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.137 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.137 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044186.138 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044186.138 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545044186.139 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545044186.139 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044186.139 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044186.139 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044186.139 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044186.139 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.139 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044186.139 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.139 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.139 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044186.139 * [misc]taylor: Taking taylor expansion of k in n 1545044186.139 * [misc]backup-simplify: Simplify k into k 1545044186.139 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044186.139 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.139 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044186.139 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044186.139 * [misc]taylor: Taking taylor expansion of n in n 1545044186.139 * [misc]backup-simplify: Simplify 0 into 0 1545044186.139 * [misc]backup-simplify: Simplify 1 into 1 1545044186.140 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044186.140 * [misc]backup-simplify: Simplify (log 1) into 0 1545044186.140 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044186.140 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044186.140 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044186.140 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044186.140 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044186.141 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545044186.142 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1545044186.142 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545044186.143 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545044186.143 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044186.145 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044186.145 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044186.146 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044186.146 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044186.146 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044186.146 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545044186.147 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044186.148 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044186.151 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044186.151 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044186.151 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044186.151 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044186.152 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1545044186.153 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044186.154 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1545044186.155 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545044186.155 * [misc]backup-simplify: Simplify (- 0) into 0 1545044186.155 * [misc]backup-simplify: Simplify 0 into 0 1545044186.155 * [misc]backup-simplify: Simplify 0 into 0 1545044186.156 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044186.157 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044186.157 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545044186.158 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545044186.158 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545044186.158 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.158 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.158 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044186.158 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545044186.158 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545044186.158 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545044186.158 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044186.158 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.158 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044186.158 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.158 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.158 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044186.158 * [misc]taylor: Taking taylor expansion of k in n 1545044186.158 * [misc]backup-simplify: Simplify k into k 1545044186.158 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044186.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.158 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.158 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.158 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.158 * [misc]backup-simplify: Simplify 2 into 2 1545044186.158 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.158 * [misc]backup-simplify: Simplify PI into PI 1545044186.159 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.159 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.159 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044186.159 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044186.160 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545044186.160 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545044186.160 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044186.160 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044186.160 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044186.160 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044186.161 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044186.161 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044186.161 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.161 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.161 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044186.161 * [misc]taylor: Taking taylor expansion of k in n 1545044186.161 * [misc]backup-simplify: Simplify k into k 1545044186.161 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044186.161 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.161 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044186.161 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044186.161 * [misc]taylor: Taking taylor expansion of n in n 1545044186.161 * [misc]backup-simplify: Simplify 0 into 0 1545044186.161 * [misc]backup-simplify: Simplify 1 into 1 1545044186.161 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044186.161 * [misc]backup-simplify: Simplify (log 1) into 0 1545044186.161 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044186.161 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044186.162 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044186.162 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044186.162 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044186.163 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545044186.163 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1545044186.164 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545044186.164 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545044186.167 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1545044186.167 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) 1545044186.167 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1545044186.167 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in n 1545044186.168 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044186.168 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044186.168 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044186.168 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044186.168 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044186.168 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.168 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044186.168 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.168 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.168 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044186.168 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.168 * [misc]backup-simplify: Simplify -1 into -1 1545044186.168 * [misc]taylor: Taking taylor expansion of k in n 1545044186.168 * [misc]backup-simplify: Simplify k into k 1545044186.168 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044186.168 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.168 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044186.168 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044186.168 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.168 * [misc]backup-simplify: Simplify -1 into -1 1545044186.168 * [misc]taylor: Taking taylor expansion of n in n 1545044186.168 * [misc]backup-simplify: Simplify 0 into 0 1545044186.168 * [misc]backup-simplify: Simplify 1 into 1 1545044186.168 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044186.169 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044186.169 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044186.169 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044186.169 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044186.169 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044186.170 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044186.170 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044186.170 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545044186.170 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545044186.170 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044186.170 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.170 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044186.170 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.170 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.170 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044186.170 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.170 * [misc]backup-simplify: Simplify -1 into -1 1545044186.170 * [misc]taylor: Taking taylor expansion of k in n 1545044186.170 * [misc]backup-simplify: Simplify k into k 1545044186.170 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044186.170 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.170 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.170 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.170 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.170 * [misc]backup-simplify: Simplify 2 into 2 1545044186.170 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.170 * [misc]backup-simplify: Simplify PI into PI 1545044186.171 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.171 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.171 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044186.171 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044186.172 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545044186.172 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044186.172 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545044186.172 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044186.173 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.173 * [misc]backup-simplify: Simplify -1 into -1 1545044186.173 * [misc]taylor: Taking taylor expansion of k in n 1545044186.173 * [misc]backup-simplify: Simplify k into k 1545044186.173 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044186.173 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545044186.173 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044186.173 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545044186.174 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044186.175 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) 1545044186.175 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1545044186.175 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1545044186.175 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044186.175 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044186.175 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044186.175 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044186.175 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.175 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044186.175 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044186.175 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.175 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044186.175 * [misc]taylor: Taking taylor expansion of -1 in k 1545044186.175 * [misc]backup-simplify: Simplify -1 into -1 1545044186.175 * [misc]taylor: Taking taylor expansion of k in k 1545044186.175 * [misc]backup-simplify: Simplify 0 into 0 1545044186.175 * [misc]backup-simplify: Simplify 1 into 1 1545044186.175 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044186.175 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044186.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.176 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044186.176 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044186.176 * [misc]taylor: Taking taylor expansion of -1 in k 1545044186.176 * [misc]backup-simplify: Simplify -1 into -1 1545044186.176 * [misc]taylor: Taking taylor expansion of n in k 1545044186.176 * [misc]backup-simplify: Simplify n into n 1545044186.176 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044186.176 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044186.176 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044186.176 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044186.176 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044186.176 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044186.176 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545044186.176 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545044186.176 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545044186.177 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044186.177 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.177 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044186.177 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044186.177 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.177 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044186.177 * [misc]taylor: Taking taylor expansion of -1 in k 1545044186.177 * [misc]backup-simplify: Simplify -1 into -1 1545044186.177 * [misc]taylor: Taking taylor expansion of k in k 1545044186.177 * [misc]backup-simplify: Simplify 0 into 0 1545044186.177 * [misc]backup-simplify: Simplify 1 into 1 1545044186.177 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044186.177 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044186.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.177 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044186.177 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044186.177 * [misc]taylor: Taking taylor expansion of 2 in k 1545044186.177 * [misc]backup-simplify: Simplify 2 into 2 1545044186.177 * [misc]taylor: Taking taylor expansion of PI in k 1545044186.177 * [misc]backup-simplify: Simplify PI into PI 1545044186.177 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.178 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.178 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044186.178 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044186.179 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044186.180 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545044186.180 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545044186.180 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044186.180 * [misc]taylor: Taking taylor expansion of -1 in k 1545044186.180 * [misc]backup-simplify: Simplify -1 into -1 1545044186.180 * [misc]taylor: Taking taylor expansion of k in k 1545044186.180 * [misc]backup-simplify: Simplify 0 into 0 1545044186.180 * [misc]backup-simplify: Simplify 1 into 1 1545044186.180 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044186.180 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044186.181 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545044186.181 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1545044186.182 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1545044186.182 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1545044186.182 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1545044186.182 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044186.182 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044186.182 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044186.182 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044186.182 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.182 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044186.182 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044186.182 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.182 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044186.182 * [misc]taylor: Taking taylor expansion of -1 in k 1545044186.182 * [misc]backup-simplify: Simplify -1 into -1 1545044186.182 * [misc]taylor: Taking taylor expansion of k in k 1545044186.182 * [misc]backup-simplify: Simplify 0 into 0 1545044186.182 * [misc]backup-simplify: Simplify 1 into 1 1545044186.182 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044186.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044186.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.182 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044186.182 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044186.182 * [misc]taylor: Taking taylor expansion of -1 in k 1545044186.182 * [misc]backup-simplify: Simplify -1 into -1 1545044186.183 * [misc]taylor: Taking taylor expansion of n in k 1545044186.183 * [misc]backup-simplify: Simplify n into n 1545044186.183 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044186.183 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044186.183 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044186.183 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044186.183 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044186.183 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044186.183 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545044186.183 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545044186.183 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545044186.183 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044186.183 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.183 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044186.183 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044186.184 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.184 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044186.184 * [misc]taylor: Taking taylor expansion of -1 in k 1545044186.184 * [misc]backup-simplify: Simplify -1 into -1 1545044186.184 * [misc]taylor: Taking taylor expansion of k in k 1545044186.184 * [misc]backup-simplify: Simplify 0 into 0 1545044186.184 * [misc]backup-simplify: Simplify 1 into 1 1545044186.184 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044186.184 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044186.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.184 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545044186.184 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545044186.184 * [misc]taylor: Taking taylor expansion of 2 in k 1545044186.184 * [misc]backup-simplify: Simplify 2 into 2 1545044186.184 * [misc]taylor: Taking taylor expansion of PI in k 1545044186.184 * [misc]backup-simplify: Simplify PI into PI 1545044186.184 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.185 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.185 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044186.185 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044186.186 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545044186.186 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545044186.186 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545044186.186 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044186.186 * [misc]taylor: Taking taylor expansion of -1 in k 1545044186.186 * [misc]backup-simplify: Simplify -1 into -1 1545044186.186 * [misc]taylor: Taking taylor expansion of k in k 1545044186.187 * [misc]backup-simplify: Simplify 0 into 0 1545044186.187 * [misc]backup-simplify: Simplify 1 into 1 1545044186.187 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044186.187 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044186.187 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545044186.188 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1545044186.188 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1545044186.188 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044186.188 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.188 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.188 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044186.188 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044186.189 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044186.189 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044186.189 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044186.189 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.189 * [misc]backup-simplify: Simplify -1 into -1 1545044186.189 * [misc]taylor: Taking taylor expansion of n in n 1545044186.189 * [misc]backup-simplify: Simplify 0 into 0 1545044186.189 * [misc]backup-simplify: Simplify 1 into 1 1545044186.189 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044186.189 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044186.189 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044186.189 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.189 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044186.189 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.189 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.189 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044186.189 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.189 * [misc]backup-simplify: Simplify -1 into -1 1545044186.189 * [misc]taylor: Taking taylor expansion of k in n 1545044186.189 * [misc]backup-simplify: Simplify k into k 1545044186.189 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044186.189 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.190 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044186.190 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044186.190 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044186.190 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044186.191 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044186.191 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044186.191 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545044186.191 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545044186.191 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044186.191 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.191 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044186.191 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.191 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.191 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044186.191 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.191 * [misc]backup-simplify: Simplify -1 into -1 1545044186.191 * [misc]taylor: Taking taylor expansion of k in n 1545044186.191 * [misc]backup-simplify: Simplify k into k 1545044186.191 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044186.191 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.191 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.191 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.191 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.191 * [misc]backup-simplify: Simplify 2 into 2 1545044186.191 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.191 * [misc]backup-simplify: Simplify PI into PI 1545044186.192 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.192 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.192 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044186.192 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044186.193 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545044186.193 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044186.194 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044186.195 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545044186.195 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545044186.196 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1545044186.196 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044186.197 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044186.198 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1545044186.198 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044186.198 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044186.198 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.198 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.198 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044186.198 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044186.198 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044186.198 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044186.198 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044186.198 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.198 * [misc]backup-simplify: Simplify -1 into -1 1545044186.199 * [misc]taylor: Taking taylor expansion of n in n 1545044186.199 * [misc]backup-simplify: Simplify 0 into 0 1545044186.199 * [misc]backup-simplify: Simplify 1 into 1 1545044186.199 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044186.199 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044186.199 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044186.199 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.199 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044186.199 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.199 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.199 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044186.199 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.199 * [misc]backup-simplify: Simplify -1 into -1 1545044186.199 * [misc]taylor: Taking taylor expansion of k in n 1545044186.199 * [misc]backup-simplify: Simplify k into k 1545044186.199 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044186.199 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.200 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044186.200 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044186.200 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044186.200 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044186.201 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044186.201 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044186.201 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545044186.201 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545044186.201 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044186.201 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.201 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044186.201 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.201 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.201 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044186.201 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.201 * [misc]backup-simplify: Simplify -1 into -1 1545044186.201 * [misc]taylor: Taking taylor expansion of k in n 1545044186.201 * [misc]backup-simplify: Simplify k into k 1545044186.201 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044186.201 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.201 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.201 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.201 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.201 * [misc]backup-simplify: Simplify 2 into 2 1545044186.201 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.201 * [misc]backup-simplify: Simplify PI into PI 1545044186.202 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.202 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.202 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044186.202 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044186.203 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545044186.203 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044186.204 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044186.205 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545044186.205 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545044186.206 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545044186.207 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545044186.209 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545044186.210 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044186.210 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044186.210 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044186.211 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1545044186.212 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044186.213 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044186.213 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044186.213 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044186.213 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044186.214 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044186.216 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545044186.216 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044186.218 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044186.218 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545044186.219 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1545044186.219 * [misc]backup-simplify: Simplify 0 into 0 1545044186.220 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1545044186.220 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044186.222 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044186.223 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1545044186.223 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044186.223 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044186.224 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044186.224 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044186.224 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044186.224 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044186.224 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044186.224 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044186.224 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044186.224 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.224 * [misc]backup-simplify: Simplify -1 into -1 1545044186.224 * [misc]taylor: Taking taylor expansion of n in n 1545044186.224 * [misc]backup-simplify: Simplify 0 into 0 1545044186.224 * [misc]backup-simplify: Simplify 1 into 1 1545044186.224 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044186.224 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044186.224 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044186.224 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.224 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044186.224 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.225 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.225 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044186.225 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.225 * [misc]backup-simplify: Simplify -1 into -1 1545044186.225 * [misc]taylor: Taking taylor expansion of k in n 1545044186.225 * [misc]backup-simplify: Simplify k into k 1545044186.225 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044186.225 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.225 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044186.225 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044186.225 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044186.226 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044186.226 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044186.226 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044186.226 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545044186.226 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545044186.226 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044186.226 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044186.226 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044186.226 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044186.226 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044186.226 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044186.226 * [misc]taylor: Taking taylor expansion of -1 in n 1545044186.226 * [misc]backup-simplify: Simplify -1 into -1 1545044186.226 * [misc]taylor: Taking taylor expansion of k in n 1545044186.226 * [misc]backup-simplify: Simplify k into k 1545044186.226 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044186.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044186.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044186.227 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545044186.227 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545044186.227 * [misc]taylor: Taking taylor expansion of 2 in n 1545044186.227 * [misc]backup-simplify: Simplify 2 into 2 1545044186.227 * [misc]taylor: Taking taylor expansion of PI in n 1545044186.227 * [misc]backup-simplify: Simplify PI into PI 1545044186.227 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545044186.228 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545044186.228 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044186.228 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044186.228 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545044186.229 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044186.230 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044186.230 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545044186.231 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545044186.232 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545044186.235 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1545044186.235 * * * [misc]progress: simplifying candidates 1545044186.235 * * * * [misc]progress: [ 1 / 98 ] simplifiying candidate # 1545044186.235 * * * * [misc]progress: [ 2 / 98 ] simplifiying candidate # 1545044186.235 * * * * [misc]progress: [ 3 / 98 ] simplifiying candidate # 1545044186.235 * * * * [misc]progress: [ 4 / 98 ] simplifiying candidate # 1545044186.236 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545044186.236 * * [misc]simplify: iters left: 2 (5 enodes) 1545044186.237 * * [misc]simplify: iters left: 1 (7 enodes) 1545044186.239 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545044186.239 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (sqrt k))) 1545044186.239 * * * * [misc]progress: [ 5 / 98 ] simplifiying candidate # 1545044186.240 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545044186.240 * * [misc]simplify: iters left: 2 (5 enodes) 1545044186.241 * * [misc]simplify: iters left: 1 (7 enodes) 1545044186.243 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545044186.243 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (sqrt k))) 1545044186.244 * * * * [misc]progress: [ 6 / 98 ] simplifiying candidate # 1545044186.244 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545044186.244 * * [misc]simplify: iters left: 1 (4 enodes) 1545044186.245 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545044186.245 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n 1) (fma -1/2 k 1/2))) (sqrt k))) 1545044186.245 * * * * [misc]progress: [ 7 / 98 ] simplifiying candidate # 1545044186.245 * [enter]simplify: Simplifying (pow n 1/2) 1545044186.246 * * [misc]simplify: iters left: 1 (3 enodes) 1545044186.247 * [exit]simplify: Simplified to (sqrt n) 1545044186.247 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (* -1/2 k)) (sqrt n))) (sqrt k))) 1545044186.247 * * * * [misc]progress: [ 8 / 98 ] simplifiying candidate # 1545044186.247 * * * * [misc]progress: [ 9 / 98 ] simplifiying candidate # 1545044186.247 * * * * [misc]progress: [ 10 / 98 ] simplifiying candidate # 1545044186.247 * * * * [misc]progress: [ 11 / 98 ] simplifiying candidate # 1545044186.247 * * * * [misc]progress: [ 12 / 98 ] simplifiying candidate # 1545044186.247 * * * * [misc]progress: [ 13 / 98 ] simplifiying candidate # 1545044186.247 * * * * [misc]progress: [ 14 / 98 ] simplifiying candidate # 1545044186.247 * * * * [misc]progress: [ 15 / 98 ] simplifiying candidate # 1545044186.247 * * * * [misc]progress: [ 16 / 98 ] simplifiying candidate # 1545044186.247 * * * * [misc]progress: [ 17 / 98 ] simplifiying candidate # 1545044186.247 * [enter]simplify: Simplifying (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1545044186.248 * * [misc]simplify: iters left: 5 (9 enodes) 1545044186.251 * * [misc]simplify: iters left: 4 (16 enodes) 1545044186.257 * * [misc]simplify: iters left: 3 (31 enodes) 1545044186.269 * * [misc]simplify: iters left: 2 (72 enodes) 1545044186.310 * * [misc]simplify: iters left: 1 (184 enodes) 1545044186.410 * [exit]simplify: Simplified to (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1545044186.410 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (log (* 2 PI)) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044186.410 * * * * [misc]progress: [ 18 / 98 ] simplifiying candidate # 1545044186.410 * * * * [misc]progress: [ 19 / 98 ] simplifiying candidate # 1545044186.410 * [enter]simplify: Simplifying (* 2 PI) 1545044186.410 * * [misc]simplify: iters left: 2 (3 enodes) 1545044186.411 * * [misc]simplify: iters left: 1 (4 enodes) 1545044186.412 * [exit]simplify: Simplified to (* 2 PI) 1545044186.412 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (* 1 (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044186.412 * * * * [misc]progress: [ 20 / 98 ] simplifiying candidate # 1545044186.412 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545044186.412 * * [misc]simplify: iters left: 2 (5 enodes) 1545044186.413 * * [misc]simplify: iters left: 1 (7 enodes) 1545044186.414 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545044186.414 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044186.414 * * * * [misc]progress: [ 21 / 98 ] simplifiying candidate # 1545044186.414 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545044186.414 * * [misc]simplify: iters left: 2 (5 enodes) 1545044186.415 * * [misc]simplify: iters left: 1 (7 enodes) 1545044186.416 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545044186.416 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044186.416 * * * * [misc]progress: [ 22 / 98 ] simplifiying candidate # 1545044186.416 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545044186.416 * * [misc]simplify: iters left: 1 (4 enodes) 1545044186.417 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545044186.417 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) 1) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044186.417 * * * * [misc]progress: [ 23 / 98 ] simplifiying candidate # 1545044186.417 * [enter]simplify: Simplifying (pow (* 2 PI) 1/2) 1545044186.417 * * [misc]simplify: iters left: 3 (5 enodes) 1545044186.418 * * [misc]simplify: iters left: 2 (7 enodes) 1545044186.419 * [exit]simplify: Simplified to (sqrt (* 2 PI)) 1545044186.419 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (* -1/2 k)) (sqrt (* 2 PI))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044186.419 * * * * [misc]progress: [ 24 / 98 ] simplifiying candidate # 1545044186.419 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1545044186.419 * * [misc]simplify: iters left: 2 (6 enodes) 1545044186.420 * * [misc]simplify: iters left: 1 (8 enodes) 1545044186.422 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1545044186.422 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044186.422 * * * * [misc]progress: [ 25 / 98 ] simplifiying candidate # 1545044186.422 * * * * [misc]progress: [ 26 / 98 ] simplifiying candidate # 1545044186.422 * * * * [misc]progress: [ 27 / 98 ] simplifiying candidate # 1545044186.422 * * * * [misc]progress: [ 28 / 98 ] simplifiying candidate # 1545044186.422 * * * * [misc]progress: [ 29 / 98 ] simplifiying candidate # 1545044186.422 * * * * [misc]progress: [ 30 / 98 ] simplifiying candidate # 1545044186.422 * * * * [misc]progress: [ 31 / 98 ] simplifiying candidate # 1545044186.422 * * * * [misc]progress: [ 32 / 98 ] simplifiying candidate # 1545044186.422 * * * * [misc]progress: [ 33 / 98 ] simplifiying candidate # 1545044186.422 * * * * [misc]progress: [ 34 / 98 ] simplifiying candidate # 1545044186.422 * [enter]simplify: Simplifying (* (* 2 PI) n) 1545044186.422 * * [misc]simplify: iters left: 4 (5 enodes) 1545044186.423 * * [misc]simplify: iters left: 3 (9 enodes) 1545044186.424 * * [misc]simplify: iters left: 2 (15 enodes) 1545044186.427 * * [misc]simplify: iters left: 1 (17 enodes) 1545044186.429 * [exit]simplify: Simplified to (* (* 2 PI) n) 1545044186.429 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma -1/2 k 1/2)) (sqrt k))) 1545044186.429 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545044186.429 * * [misc]simplify: iters left: 1 (4 enodes) 1545044186.430 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545044186.430 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma -1/2 k 1/2)) (sqrt k))) 1545044186.430 * * * * [misc]progress: [ 35 / 98 ] simplifiying candidate # 1545044186.430 * * * * [misc]progress: [ 36 / 98 ] simplifiying candidate # 1545044186.430 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) 1545044186.430 * * [misc]simplify: iters left: 6 (13 enodes) 1545044186.433 * * [misc]simplify: iters left: 5 (25 enodes) 1545044186.439 * * [misc]simplify: iters left: 4 (54 enodes) 1545044186.463 * * [misc]simplify: iters left: 3 (149 enodes) 1545044186.559 * * [misc]simplify: iters left: 2 (457 enodes) 1545044186.896 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1545044186.896 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1545044186.896 * * * * [misc]progress: [ 37 / 98 ] simplifiying candidate # 1545044186.896 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) 1545044186.897 * * [misc]simplify: iters left: 6 (13 enodes) 1545044186.901 * * [misc]simplify: iters left: 5 (24 enodes) 1545044186.909 * * [misc]simplify: iters left: 4 (46 enodes) 1545044186.922 * * [misc]simplify: iters left: 3 (121 enodes) 1545044186.984 * * [misc]simplify: iters left: 2 (419 enodes) 1545044187.313 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1545044187.313 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1545044187.313 * * * * [misc]progress: [ 38 / 98 ] simplifiying candidate # 1545044187.314 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) 1545044187.314 * * [misc]simplify: iters left: 6 (13 enodes) 1545044187.323 * * [misc]simplify: iters left: 5 (25 enodes) 1545044187.330 * * [misc]simplify: iters left: 4 (54 enodes) 1545044187.342 * * [misc]simplify: iters left: 3 (149 enodes) 1545044187.421 * * [misc]simplify: iters left: 2 (457 enodes) 1545044187.766 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1545044187.766 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1545044187.766 * * * * [misc]progress: [ 39 / 98 ] simplifiying candidate # 1545044187.766 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) 1545044187.766 * * [misc]simplify: iters left: 6 (13 enodes) 1545044187.771 * * [misc]simplify: iters left: 5 (24 enodes) 1545044187.776 * * [misc]simplify: iters left: 4 (46 enodes) 1545044187.786 * * [misc]simplify: iters left: 3 (121 enodes) 1545044187.860 * * [misc]simplify: iters left: 2 (419 enodes) 1545044188.169 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1545044188.169 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1545044188.169 * * * * [misc]progress: [ 40 / 98 ] simplifiying candidate # 1545044188.169 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) 1545044188.169 * * [misc]simplify: iters left: 6 (13 enodes) 1545044188.172 * * [misc]simplify: iters left: 5 (20 enodes) 1545044188.176 * * [misc]simplify: iters left: 4 (40 enodes) 1545044188.184 * * [misc]simplify: iters left: 3 (87 enodes) 1545044188.212 * * [misc]simplify: iters left: 2 (260 enodes) 1545044188.479 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1545044188.479 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1545044188.480 * * * * [misc]progress: [ 41 / 98 ] simplifiying candidate # 1545044188.480 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) 1545044188.480 * * [misc]simplify: iters left: 6 (13 enodes) 1545044188.482 * * [misc]simplify: iters left: 5 (21 enodes) 1545044188.486 * * [misc]simplify: iters left: 4 (35 enodes) 1545044188.492 * * [misc]simplify: iters left: 3 (71 enodes) 1545044188.512 * * [misc]simplify: iters left: 2 (195 enodes) 1545044188.653 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1545044188.653 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1545044188.653 * * * * [misc]progress: [ 42 / 98 ] simplifiying candidate # 1545044188.653 * * * * [misc]progress: [ 43 / 98 ] simplifiying candidate # 1545044188.653 * * * * [misc]progress: [ 44 / 98 ] simplifiying candidate # 1545044188.654 * [enter]simplify: Simplifying (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1545044188.654 * * [misc]simplify: iters left: 6 (15 enodes) 1545044188.656 * * [misc]simplify: iters left: 5 (25 enodes) 1545044188.661 * * [misc]simplify: iters left: 4 (52 enodes) 1545044188.670 * * [misc]simplify: iters left: 3 (89 enodes) 1545044188.686 * * [misc]simplify: iters left: 2 (115 enodes) 1545044188.699 * * [misc]simplify: iters left: 1 (117 enodes) 1545044188.712 * [exit]simplify: Simplified to (pow (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 3) 1545044188.712 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 3)) (sqrt k))) 1545044188.712 * * * * [misc]progress: [ 45 / 98 ] simplifiying candidate # 1545044188.712 * * * * [misc]progress: [ 46 / 98 ] simplifiying candidate # 1545044188.712 * * * * [misc]progress: [ 47 / 98 ] simplifiying candidate # 1545044188.712 * * * * [misc]progress: [ 48 / 98 ] simplifiying candidate # 1545044188.712 * * * * [misc]progress: [ 49 / 98 ] simplifiying candidate # 1545044188.713 * [enter]simplify: Simplifying (pow n 1/2) 1545044188.713 * * [misc]simplify: iters left: 1 (3 enodes) 1545044188.713 * [exit]simplify: Simplified to (sqrt n) 1545044188.713 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (* -1/2 k))) (sqrt n)) (sqrt k))) 1545044188.713 * * * * [misc]progress: [ 50 / 98 ] simplifiying candidate # 1545044188.713 * [enter]simplify: Simplifying (cbrt (pow n (fma -1/2 k 1/2))) 1545044188.713 * * [misc]simplify: iters left: 3 (7 enodes) 1545044188.714 * * [misc]simplify: iters left: 2 (9 enodes) 1545044188.716 * * [misc]simplify: iters left: 1 (11 enodes) 1545044188.717 * [exit]simplify: Simplified to (cbrt (pow n (fma k -1/2 1/2))) 1545044188.717 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (cbrt (pow n (fma k -1/2 1/2)))) (sqrt k))) 1545044188.718 * * * * [misc]progress: [ 51 / 98 ] simplifiying candidate # 1545044188.718 * [enter]simplify: Simplifying (sqrt (pow n (fma -1/2 k 1/2))) 1545044188.718 * * [misc]simplify: iters left: 3 (7 enodes) 1545044188.719 * * [misc]simplify: iters left: 2 (9 enodes) 1545044188.720 * * [misc]simplify: iters left: 1 (11 enodes) 1545044188.722 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1545044188.722 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (pow n (fma -1/2 k 1/2)))) (sqrt (pow n (fma k -1/2 1/2)))) (sqrt k))) 1545044188.722 * * * * [misc]progress: [ 52 / 98 ] simplifiying candidate # 1545044188.722 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1545044188.722 * * [misc]simplify: iters left: 2 (6 enodes) 1545044188.723 * * [misc]simplify: iters left: 1 (8 enodes) 1545044188.724 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545044188.724 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) 1) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044188.724 * * * * [misc]progress: [ 53 / 98 ] simplifiying candidate # 1545044188.724 * [enter]simplify: Simplifying (pow (* 2 PI) (* -1/2 k)) 1545044188.725 * * [misc]simplify: iters left: 3 (7 enodes) 1545044188.726 * * [misc]simplify: iters left: 2 (9 enodes) 1545044188.727 * [exit]simplify: Simplified to (pow (* 2 PI) (* -1/2 k)) 1545044188.727 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (* -1/2 k)) (* (pow (* 2 PI) 1/2) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545044188.727 * * * * [misc]progress: [ 54 / 98 ] simplifiying candidate # 1545044188.727 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1545044188.727 * * [misc]simplify: iters left: 2 (6 enodes) 1545044188.728 * * [misc]simplify: iters left: 1 (8 enodes) 1545044188.729 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1545044188.729 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545044188.729 * * * * [misc]progress: [ 55 / 98 ] simplifiying candidate # 1545044188.730 * [enter]simplify: Simplifying (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1545044188.730 * * [misc]simplify: iters left: 6 (10 enodes) 1545044188.731 * * [misc]simplify: iters left: 5 (13 enodes) 1545044188.733 * * [misc]simplify: iters left: 4 (15 enodes) 1545044188.735 * * [misc]simplify: iters left: 3 (16 enodes) 1545044188.738 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1545044188.738 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545044188.738 * * * * [misc]progress: [ 56 / 98 ] simplifiying candidate # 1545044188.738 * [enter]simplify: Simplifying (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1545044188.738 * * [misc]simplify: iters left: 4 (9 enodes) 1545044188.739 * * [misc]simplify: iters left: 3 (12 enodes) 1545044188.741 * * [misc]simplify: iters left: 2 (14 enodes) 1545044188.743 * * [misc]simplify: iters left: 1 (15 enodes) 1545044188.745 * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1545044188.745 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545044188.745 * * * * [misc]progress: [ 57 / 98 ] simplifiying candidate # 1545044188.745 * * * * [misc]progress: [ 58 / 98 ] simplifiying candidate # 1545044188.745 * * * * [misc]progress: [ 59 / 98 ] simplifiying candidate # 1545044188.745 * * * * [misc]progress: [ 60 / 98 ] simplifiying candidate # 1545044188.745 * * * * [misc]progress: [ 61 / 98 ] simplifiying candidate # 1545044188.745 * * * * [misc]progress: [ 62 / 98 ] simplifiying candidate # 1545044188.746 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545044188.746 * * [misc]simplify: iters left: 6 (16 enodes) 1545044188.750 * * [misc]simplify: iters left: 5 (32 enodes) 1545044188.762 * * [misc]simplify: iters left: 4 (74 enodes) 1545044188.795 * * [misc]simplify: iters left: 3 (227 enodes) 1545044188.976 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1545044188.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1545044188.976 * * * * [misc]progress: [ 63 / 98 ] simplifiying candidate # 1545044188.976 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545044188.976 * * [misc]simplify: iters left: 6 (16 enodes) 1545044188.979 * * [misc]simplify: iters left: 5 (31 enodes) 1545044188.985 * * [misc]simplify: iters left: 4 (64 enodes) 1545044189.001 * * [misc]simplify: iters left: 3 (187 enodes) 1545044189.143 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545044189.143 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1545044189.143 * * * * [misc]progress: [ 64 / 98 ] simplifiying candidate # 1545044189.143 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545044189.144 * * [misc]simplify: iters left: 6 (16 enodes) 1545044189.149 * * [misc]simplify: iters left: 5 (32 enodes) 1545044189.162 * * [misc]simplify: iters left: 4 (74 enodes) 1545044189.198 * * [misc]simplify: iters left: 3 (227 enodes) 1545044189.354 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1545044189.354 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1545044189.354 * * * * [misc]progress: [ 65 / 98 ] simplifiying candidate # 1545044189.354 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545044189.354 * * [misc]simplify: iters left: 6 (16 enodes) 1545044189.357 * * [misc]simplify: iters left: 5 (31 enodes) 1545044189.363 * * [misc]simplify: iters left: 4 (64 enodes) 1545044189.387 * * [misc]simplify: iters left: 3 (187 enodes) 1545044189.504 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545044189.504 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1545044189.504 * * * * [misc]progress: [ 66 / 98 ] simplifiying candidate # 1545044189.504 * [enter]simplify: Simplifying (- (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545044189.505 * * [misc]simplify: iters left: 6 (16 enodes) 1545044189.507 * * [misc]simplify: iters left: 5 (27 enodes) 1545044189.515 * * [misc]simplify: iters left: 4 (58 enodes) 1545044189.527 * * [misc]simplify: iters left: 3 (133 enodes) 1545044189.616 * * [misc]simplify: iters left: 2 (461 enodes) 1545044190.084 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545044190.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1545044190.084 * * * * [misc]progress: [ 67 / 98 ] simplifiying candidate # 1545044190.084 * [enter]simplify: Simplifying (- (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545044190.085 * * [misc]simplify: iters left: 6 (16 enodes) 1545044190.090 * * [misc]simplify: iters left: 5 (28 enodes) 1545044190.099 * * [misc]simplify: iters left: 4 (52 enodes) 1545044190.118 * * [misc]simplify: iters left: 3 (105 enodes) 1545044190.167 * * [misc]simplify: iters left: 2 (371 enodes) 1545044190.489 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))) 1545044190.489 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))))) 1545044190.489 * * * * [misc]progress: [ 68 / 98 ] simplifiying candidate # 1545044190.489 * [enter]simplify: Simplifying (- (log (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545044190.489 * * [misc]simplify: iters left: 6 (15 enodes) 1545044190.492 * * [misc]simplify: iters left: 5 (24 enodes) 1545044190.495 * * [misc]simplify: iters left: 4 (36 enodes) 1545044190.502 * * [misc]simplify: iters left: 3 (60 enodes) 1545044190.516 * * [misc]simplify: iters left: 2 (109 enodes) 1545044190.588 * * [misc]simplify: iters left: 1 (384 enodes) 1545044191.050 * [exit]simplify: Simplified to (fma (+ (log n) (log (* 2 PI))) (fma -1/2 k 1/2) (- (log (sqrt k)))) 1545044191.050 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log n) (log (* 2 PI))) (fma -1/2 k 1/2) (- (log (sqrt k)))))) 1545044191.050 * * * * [misc]progress: [ 69 / 98 ] simplifiying candidate # 1545044191.050 * * * * [misc]progress: [ 70 / 98 ] simplifiying candidate # 1545044191.050 * * * * [misc]progress: [ 71 / 98 ] simplifiying candidate # 1545044191.051 * [enter]simplify: Simplifying (/ (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545044191.051 * * [misc]simplify: iters left: 6 (19 enodes) 1545044191.057 * * [misc]simplify: iters left: 5 (37 enodes) 1545044191.067 * * [misc]simplify: iters left: 4 (122 enodes) 1545044191.109 * * [misc]simplify: iters left: 3 (419 enodes) 1545044191.498 * [exit]simplify: Simplified to (* (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ k (pow n (fma -1/2 k 1/2)))) (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044191.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ k (pow n (fma -1/2 k 1/2)))) (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1545044191.498 * * * * [misc]progress: [ 72 / 98 ] simplifiying candidate # 1545044191.498 * [enter]simplify: Simplifying (/ (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545044191.499 * * [misc]simplify: iters left: 6 (17 enodes) 1545044191.505 * * [misc]simplify: iters left: 5 (36 enodes) 1545044191.518 * * [misc]simplify: iters left: 4 (103 enodes) 1545044191.569 * * [misc]simplify: iters left: 3 (352 enodes) 1545044191.980 * [exit]simplify: Simplified to (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* k (sqrt k))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))) 1545044191.980 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* k (sqrt k))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))))) 1545044191.980 * * * * [misc]progress: [ 73 / 98 ] simplifiying candidate # 1545044191.980 * * * * [misc]progress: [ 74 / 98 ] simplifiying candidate # 1545044191.980 * * * * [misc]progress: [ 75 / 98 ] simplifiying candidate # 1545044191.980 * * * * [misc]progress: [ 76 / 98 ] simplifiying candidate # 1545044191.980 * * * * [misc]progress: [ 77 / 98 ] simplifiying candidate # 1545044191.981 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044191.981 * * [misc]simplify: iters left: 6 (12 enodes) 1545044191.984 * * [misc]simplify: iters left: 5 (17 enodes) 1545044191.990 * * [misc]simplify: iters left: 4 (19 enodes) 1545044191.995 * * [misc]simplify: iters left: 3 (20 enodes) 1545044192.000 * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545044192.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1545044192.001 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1545044192.001 * * [misc]simplify: iters left: 4 (9 enodes) 1545044192.003 * * [misc]simplify: iters left: 3 (11 enodes) 1545044192.007 * * [misc]simplify: iters left: 2 (13 enodes) 1545044192.010 * * [misc]simplify: iters left: 1 (14 enodes) 1545044192.014 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1545044192.014 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1545044192.014 * * * * [misc]progress: [ 78 / 98 ] simplifiying candidate # 1545044192.014 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1545044192.014 * * [misc]simplify: iters left: 5 (11 enodes) 1545044192.018 * * [misc]simplify: iters left: 4 (14 enodes) 1545044192.022 * * [misc]simplify: iters left: 3 (16 enodes) 1545044192.026 * * [misc]simplify: iters left: 2 (17 enodes) 1545044192.030 * [exit]simplify: Simplified to (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1545044192.030 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1545044192.031 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1545044192.031 * * [misc]simplify: iters left: 4 (9 enodes) 1545044192.032 * * [misc]simplify: iters left: 3 (11 enodes) 1545044192.034 * * [misc]simplify: iters left: 2 (13 enodes) 1545044192.036 * * [misc]simplify: iters left: 1 (14 enodes) 1545044192.038 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1545044192.038 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1545044192.038 * * * * [misc]progress: [ 79 / 98 ] simplifiying candidate # 1545044192.038 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) 1) 1545044192.038 * * [misc]simplify: iters left: 5 (10 enodes) 1545044192.040 * * [misc]simplify: iters left: 4 (15 enodes) 1545044192.042 * * [misc]simplify: iters left: 3 (19 enodes) 1545044192.045 * * [misc]simplify: iters left: 2 (20 enodes) 1545044192.047 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1545044192.047 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545044192.047 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1545044192.047 * * [misc]simplify: iters left: 4 (8 enodes) 1545044192.048 * * [misc]simplify: iters left: 3 (10 enodes) 1545044192.050 * * [misc]simplify: iters left: 2 (12 enodes) 1545044192.051 * * [misc]simplify: iters left: 1 (13 enodes) 1545044192.053 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1545044192.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1545044192.053 * * * * [misc]progress: [ 80 / 98 ] simplifiying candidate # 1545044192.053 * * * * [misc]progress: [ 81 / 98 ] simplifiying candidate # 1545044192.053 * * * * [misc]progress: [ 82 / 98 ] simplifiying candidate # 1545044192.053 * * * * [misc]progress: [ 83 / 98 ] simplifiying candidate # 1545044192.053 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545044192.053 * * [misc]simplify: iters left: 2 (3 enodes) 1545044192.054 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545044192.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1545044192.054 * * * * [misc]progress: [ 84 / 98 ] simplifiying candidate # 1545044192.054 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545044192.054 * * [misc]simplify: iters left: 2 (3 enodes) 1545044192.055 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545044192.055 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545044192.055 * * * * [misc]progress: [ 85 / 98 ] simplifiying candidate # 1545044192.055 * [enter]simplify: Simplifying (sqrt k) 1545044192.055 * * [misc]simplify: iters left: 1 (2 enodes) 1545044192.055 * [exit]simplify: Simplified to (sqrt k) 1545044192.055 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1) (sqrt k))) 1545044192.055 * * * * [misc]progress: [ 86 / 98 ] simplifiying candidate # 1545044192.055 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1545044192.055 * * [misc]simplify: iters left: 3 (8 enodes) 1545044192.057 * * [misc]simplify: iters left: 2 (11 enodes) 1545044192.058 * * [misc]simplify: iters left: 1 (13 enodes) 1545044192.060 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1545044192.060 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044192.060 * * * * [misc]progress: [ 87 / 98 ] simplifiying candidate # 1545044192.060 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545044192.060 * * [misc]simplify: iters left: 6 (18 enodes) 1545044192.064 * * [misc]simplify: iters left: 5 (39 enodes) 1545044192.072 * * [misc]simplify: iters left: 4 (119 enodes) 1545044192.115 * * [misc]simplify: iters left: 3 (334 enodes) 1545044192.324 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1545044192.324 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n)))) (sqrt k))) 1545044192.324 * * * * [misc]progress: [ 88 / 98 ] simplifiying candidate # 1545044192.325 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545044192.325 * * [misc]simplify: iters left: 6 (12 enodes) 1545044192.330 * * [misc]simplify: iters left: 5 (28 enodes) 1545044192.342 * * [misc]simplify: iters left: 4 (67 enodes) 1545044192.363 * * [misc]simplify: iters left: 3 (180 enodes) 1545044192.484 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545044192.484 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044192.484 * * * * [misc]progress: [ 89 / 98 ] simplifiying candidate # 1545044192.484 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545044192.484 * * [misc]simplify: iters left: 6 (12 enodes) 1545044192.489 * * [misc]simplify: iters left: 5 (22 enodes) 1545044192.498 * * [misc]simplify: iters left: 4 (52 enodes) 1545044192.514 * * [misc]simplify: iters left: 3 (149 enodes) 1545044192.579 * * [misc]simplify: iters left: 2 (453 enodes) 1545044193.341 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1545044193.341 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma k -1/2 1/2))) (sqrt k))) 1545044193.341 * * * * [misc]progress: [ 90 / 98 ] simplifiying candidate # 1545044193.341 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1545044193.341 * * [misc]simplify: iters left: 6 (22 enodes) 1545044193.347 * * [misc]simplify: iters left: 5 (55 enodes) 1545044193.359 * * [misc]simplify: iters left: 4 (175 enodes) 1545044193.486 * [exit]simplify: Simplified to (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) 1545044193.486 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044193.486 * * * * [misc]progress: [ 91 / 98 ] simplifiying candidate # 1545044193.486 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1545044193.487 * * [misc]simplify: iters left: 3 (8 enodes) 1545044193.488 * * [misc]simplify: iters left: 2 (11 enodes) 1545044193.489 * * [misc]simplify: iters left: 1 (13 enodes) 1545044193.491 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1545044193.491 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044193.491 * * * * [misc]progress: [ 92 / 98 ] simplifiying candidate # 1545044193.492 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1545044193.492 * * [misc]simplify: iters left: 3 (8 enodes) 1545044193.493 * * [misc]simplify: iters left: 2 (11 enodes) 1545044193.494 * * [misc]simplify: iters left: 1 (13 enodes) 1545044193.496 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1545044193.496 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044193.496 * * * * [misc]progress: [ 93 / 98 ] simplifiying candidate # 1545044193.497 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))) 1545044193.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1545044193.497 * * * * [misc]progress: [ 94 / 98 ] simplifiying candidate # 1545044193.497 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1545044193.497 * * [misc]simplify: iters left: 6 (17 enodes) 1545044193.501 * * [misc]simplify: iters left: 5 (35 enodes) 1545044193.510 * * [misc]simplify: iters left: 4 (74 enodes) 1545044193.540 * * [misc]simplify: iters left: 3 (192 enodes) 1545044193.693 * [exit]simplify: Simplified to (* (pow (* PI 2) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545044193.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044193.693 * * * * [misc]progress: [ 95 / 98 ] simplifiying candidate # 1545044193.694 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1545044193.694 * * [misc]simplify: iters left: 6 (17 enodes) 1545044193.700 * * [misc]simplify: iters left: 5 (29 enodes) 1545044193.711 * * [misc]simplify: iters left: 4 (59 enodes) 1545044193.737 * * [misc]simplify: iters left: 3 (156 enodes) 1545044193.838 * * [misc]simplify: iters left: 2 (468 enodes) 1545044194.611 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (pow (* PI 2) (fma k -1/2 1/2))) 1545044194.611 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow n (fma k -1/2 1/2)) (pow (* PI 2) (fma k -1/2 1/2))) (sqrt k))) 1545044194.611 * * * * [misc]progress: [ 96 / 98 ] simplifiying candidate # 1545044194.611 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545044194.611 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044194.611 * * * * [misc]progress: [ 97 / 98 ] simplifiying candidate # 1545044194.612 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1545044194.612 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044194.612 * * * * [misc]progress: [ 98 / 98 ] simplifiying candidate # 1545044194.612 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1545044194.612 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044194.612 * * * [misc]progress: adding candidates to table 1545044196.122 * * [misc]progress: iteration 3 / 4 1545044196.122 * * * [misc]progress: picking best candidate 1545044196.153 * * * * [misc]pick: Picked # 1545044196.153 * * * [misc]progress: localizing error 1545044196.181 * * * [misc]progress: generating rewritten candidates 1545044196.181 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1545044196.183 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) 1545044196.184 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1545044196.204 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545044196.236 * * * [misc]progress: generating series expansions 1545044196.236 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1545044196.236 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1545044196.236 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1545044196.236 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044196.236 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044196.236 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044196.236 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.236 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.236 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.236 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.236 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.236 * [misc]taylor: Taking taylor expansion of k in k 1545044196.236 * [misc]backup-simplify: Simplify 0 into 0 1545044196.236 * [misc]backup-simplify: Simplify 1 into 1 1545044196.236 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.236 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044196.236 * [misc]taylor: Taking taylor expansion of n in k 1545044196.236 * [misc]backup-simplify: Simplify n into n 1545044196.236 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044196.237 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.237 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.237 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044196.237 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044196.237 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044196.237 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044196.237 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044196.237 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044196.237 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.237 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044196.237 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.237 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.237 * [misc]taylor: Taking taylor expansion of k in n 1545044196.237 * [misc]backup-simplify: Simplify k into k 1545044196.237 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.237 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.237 * [misc]taylor: Taking taylor expansion of n in n 1545044196.237 * [misc]backup-simplify: Simplify 0 into 0 1545044196.237 * [misc]backup-simplify: Simplify 1 into 1 1545044196.237 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.237 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044196.237 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044196.238 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.238 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044196.238 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044196.238 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044196.238 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044196.238 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044196.238 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044196.238 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.238 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044196.238 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.238 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.238 * [misc]taylor: Taking taylor expansion of k in n 1545044196.238 * [misc]backup-simplify: Simplify k into k 1545044196.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.238 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.238 * [misc]taylor: Taking taylor expansion of n in n 1545044196.238 * [misc]backup-simplify: Simplify 0 into 0 1545044196.238 * [misc]backup-simplify: Simplify 1 into 1 1545044196.238 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.238 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044196.238 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044196.238 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.238 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044196.238 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044196.239 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545044196.239 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545044196.239 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545044196.239 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545044196.239 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.239 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545044196.239 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.239 * [misc]taylor: Taking taylor expansion of k in k 1545044196.239 * [misc]backup-simplify: Simplify 0 into 0 1545044196.239 * [misc]backup-simplify: Simplify 1 into 1 1545044196.239 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044196.239 * [misc]taylor: Taking taylor expansion of n in k 1545044196.239 * [misc]backup-simplify: Simplify n into n 1545044196.239 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044196.239 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044196.239 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.239 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.239 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044196.239 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044196.239 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1545044196.241 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044196.241 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1545044196.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.241 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.241 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545044196.242 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.243 * [misc]taylor: Taking taylor expansion of 0 in k 1545044196.243 * [misc]backup-simplify: Simplify 0 into 0 1545044196.243 * [misc]backup-simplify: Simplify 0 into 0 1545044196.243 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044196.243 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545044196.243 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044196.243 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044196.244 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545044196.244 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545044196.244 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1545044196.246 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545044196.247 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545044196.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.247 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.247 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545044196.248 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044196.248 * [misc]taylor: Taking taylor expansion of 0 in k 1545044196.248 * [misc]backup-simplify: Simplify 0 into 0 1545044196.248 * [misc]backup-simplify: Simplify 0 into 0 1545044196.248 * [misc]backup-simplify: Simplify 0 into 0 1545044196.249 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044196.249 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044196.250 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.250 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.250 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545044196.250 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044196.251 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044196.251 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545044196.251 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044196.251 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1545044196.251 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.251 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044196.251 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044196.251 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.251 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.251 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.251 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.251 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.251 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.251 * [misc]taylor: Taking taylor expansion of k in k 1545044196.251 * [misc]backup-simplify: Simplify 0 into 0 1545044196.251 * [misc]backup-simplify: Simplify 1 into 1 1545044196.252 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.252 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.252 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044196.252 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044196.252 * [misc]taylor: Taking taylor expansion of n in k 1545044196.252 * [misc]backup-simplify: Simplify n into n 1545044196.252 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044196.252 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044196.252 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.252 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.252 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044196.252 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044196.252 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.252 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044196.252 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044196.252 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.252 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.252 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.252 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.252 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.252 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.252 * [misc]taylor: Taking taylor expansion of k in n 1545044196.252 * [misc]backup-simplify: Simplify k into k 1545044196.252 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.252 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.252 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044196.252 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044196.252 * [misc]taylor: Taking taylor expansion of n in n 1545044196.253 * [misc]backup-simplify: Simplify 0 into 0 1545044196.253 * [misc]backup-simplify: Simplify 1 into 1 1545044196.253 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.253 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.253 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.253 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.253 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.253 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044196.253 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044196.253 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.253 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044196.253 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044196.253 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.253 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.253 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.253 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.253 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.253 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.253 * [misc]taylor: Taking taylor expansion of k in n 1545044196.253 * [misc]backup-simplify: Simplify k into k 1545044196.254 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.254 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.254 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044196.254 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044196.254 * [misc]taylor: Taking taylor expansion of n in n 1545044196.254 * [misc]backup-simplify: Simplify 0 into 0 1545044196.254 * [misc]backup-simplify: Simplify 1 into 1 1545044196.254 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.254 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.254 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.254 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.254 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.254 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044196.254 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044196.254 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545044196.254 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545044196.254 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.254 * [misc]backup-simplify: Simplify -1 into -1 1545044196.254 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545044196.255 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545044196.255 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.255 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.255 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044196.255 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.255 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.255 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.255 * [misc]taylor: Taking taylor expansion of k in k 1545044196.255 * [misc]backup-simplify: Simplify 0 into 0 1545044196.255 * [misc]backup-simplify: Simplify 1 into 1 1545044196.255 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.255 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044196.255 * [misc]taylor: Taking taylor expansion of n in k 1545044196.255 * [misc]backup-simplify: Simplify n into n 1545044196.255 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044196.255 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044196.255 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044196.255 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044196.255 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545044196.255 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545044196.255 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044196.255 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044196.256 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044196.257 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044196.257 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044196.257 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044196.258 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.258 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.258 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545044196.259 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.259 * [misc]taylor: Taking taylor expansion of 0 in k 1545044196.259 * [misc]backup-simplify: Simplify 0 into 0 1545044196.259 * [misc]backup-simplify: Simplify 0 into 0 1545044196.259 * [misc]backup-simplify: Simplify 0 into 0 1545044196.259 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044196.261 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545044196.262 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044196.262 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044196.262 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.262 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.262 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545044196.264 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044196.264 * [misc]taylor: Taking taylor expansion of 0 in k 1545044196.264 * [misc]backup-simplify: Simplify 0 into 0 1545044196.264 * [misc]backup-simplify: Simplify 0 into 0 1545044196.264 * [misc]backup-simplify: Simplify 0 into 0 1545044196.265 * [misc]backup-simplify: Simplify 0 into 0 1545044196.265 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044196.272 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1545044196.272 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044196.272 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545044196.272 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.273 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.273 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545044196.276 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545044196.276 * [misc]taylor: Taking taylor expansion of 0 in k 1545044196.276 * [misc]backup-simplify: Simplify 0 into 0 1545044196.276 * [misc]backup-simplify: Simplify 0 into 0 1545044196.277 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545044196.277 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1545044196.277 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1545044196.277 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.277 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044196.277 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044196.277 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.277 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.277 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.277 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.277 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.277 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.277 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.277 * [misc]backup-simplify: Simplify -1 into -1 1545044196.277 * [misc]taylor: Taking taylor expansion of k in k 1545044196.277 * [misc]backup-simplify: Simplify 0 into 0 1545044196.277 * [misc]backup-simplify: Simplify 1 into 1 1545044196.277 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.277 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.277 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044196.277 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044196.277 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.278 * [misc]backup-simplify: Simplify -1 into -1 1545044196.278 * [misc]taylor: Taking taylor expansion of n in k 1545044196.278 * [misc]backup-simplify: Simplify n into n 1545044196.278 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044196.278 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044196.278 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.278 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.278 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044196.278 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044196.278 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.278 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044196.278 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044196.278 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.278 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.278 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.279 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.279 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.279 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.279 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.279 * [misc]backup-simplify: Simplify -1 into -1 1545044196.279 * [misc]taylor: Taking taylor expansion of k in n 1545044196.279 * [misc]backup-simplify: Simplify k into k 1545044196.279 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.279 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.279 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044196.279 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044196.279 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.279 * [misc]backup-simplify: Simplify -1 into -1 1545044196.279 * [misc]taylor: Taking taylor expansion of n in n 1545044196.279 * [misc]backup-simplify: Simplify 0 into 0 1545044196.279 * [misc]backup-simplify: Simplify 1 into 1 1545044196.279 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.279 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044196.279 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.279 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.280 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.280 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044196.280 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044196.280 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.280 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044196.280 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044196.281 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.281 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.281 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.281 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.281 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.281 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.281 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.281 * [misc]backup-simplify: Simplify -1 into -1 1545044196.281 * [misc]taylor: Taking taylor expansion of k in n 1545044196.281 * [misc]backup-simplify: Simplify k into k 1545044196.281 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.281 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.281 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044196.281 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044196.281 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.281 * [misc]backup-simplify: Simplify -1 into -1 1545044196.281 * [misc]taylor: Taking taylor expansion of n in n 1545044196.281 * [misc]backup-simplify: Simplify 0 into 0 1545044196.281 * [misc]backup-simplify: Simplify 1 into 1 1545044196.281 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.281 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044196.281 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.282 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.282 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.282 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044196.283 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044196.283 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545044196.283 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545044196.283 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545044196.283 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044196.283 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.283 * [misc]taylor: Taking taylor expansion of k in k 1545044196.283 * [misc]backup-simplify: Simplify 0 into 0 1545044196.283 * [misc]backup-simplify: Simplify 1 into 1 1545044196.283 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.283 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.283 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545044196.283 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545044196.283 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.283 * [misc]backup-simplify: Simplify -1 into -1 1545044196.283 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044196.283 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044196.284 * [misc]taylor: Taking taylor expansion of n in k 1545044196.284 * [misc]backup-simplify: Simplify n into n 1545044196.284 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044196.284 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044196.284 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.284 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545044196.284 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545044196.284 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545044196.285 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044196.285 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044196.285 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044196.288 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545044196.288 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044196.288 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044196.288 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.289 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.289 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545044196.290 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.290 * [misc]taylor: Taking taylor expansion of 0 in k 1545044196.290 * [misc]backup-simplify: Simplify 0 into 0 1545044196.290 * [misc]backup-simplify: Simplify 0 into 0 1545044196.290 * [misc]backup-simplify: Simplify 0 into 0 1545044196.291 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044196.296 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545044196.296 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044196.296 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545044196.297 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.297 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.297 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545044196.299 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044196.299 * [misc]taylor: Taking taylor expansion of 0 in k 1545044196.299 * [misc]backup-simplify: Simplify 0 into 0 1545044196.299 * [misc]backup-simplify: Simplify 0 into 0 1545044196.300 * [misc]backup-simplify: Simplify 0 into 0 1545044196.300 * [misc]backup-simplify: Simplify 0 into 0 1545044196.300 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044196.307 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1545044196.307 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044196.307 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1545044196.308 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.308 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.308 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1545044196.311 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545044196.311 * [misc]taylor: Taking taylor expansion of 0 in k 1545044196.311 * [misc]backup-simplify: Simplify 0 into 0 1545044196.312 * [misc]backup-simplify: Simplify 0 into 0 1545044196.312 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545044196.312 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) 1545044196.312 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 k 1/2)) into (pow PI (fma -1/2 k 1/2)) 1545044196.312 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in (k) around 0 1545044196.312 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545044196.312 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545044196.312 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545044196.312 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.312 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.312 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.312 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.312 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.312 * [misc]taylor: Taking taylor expansion of k in k 1545044196.312 * [misc]backup-simplify: Simplify 0 into 0 1545044196.313 * [misc]backup-simplify: Simplify 1 into 1 1545044196.313 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.313 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.313 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.313 * [misc]backup-simplify: Simplify PI into PI 1545044196.313 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.313 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.313 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.314 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.314 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545044196.315 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545044196.315 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545044196.315 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545044196.315 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.315 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.315 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.315 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.315 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.315 * [misc]taylor: Taking taylor expansion of k in k 1545044196.315 * [misc]backup-simplify: Simplify 0 into 0 1545044196.315 * [misc]backup-simplify: Simplify 1 into 1 1545044196.315 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.315 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.315 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.315 * [misc]backup-simplify: Simplify PI into PI 1545044196.315 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.315 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.316 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.316 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.317 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545044196.317 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545044196.319 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044196.319 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044196.320 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.320 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545044196.323 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545044196.324 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545044196.330 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545044196.330 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044196.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.332 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545044196.336 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545044196.337 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545044196.339 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545044196.340 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 k) 1/2)) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044196.340 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1545044196.340 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.340 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545044196.340 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545044196.340 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.340 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.340 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.340 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.340 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.340 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.340 * [misc]taylor: Taking taylor expansion of k in k 1545044196.340 * [misc]backup-simplify: Simplify 0 into 0 1545044196.340 * [misc]backup-simplify: Simplify 1 into 1 1545044196.340 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.340 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.340 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.340 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.340 * [misc]backup-simplify: Simplify PI into PI 1545044196.341 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.341 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.341 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.341 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545044196.342 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044196.342 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.342 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545044196.342 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545044196.342 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.342 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.342 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.342 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.342 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.342 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.342 * [misc]taylor: Taking taylor expansion of k in k 1545044196.342 * [misc]backup-simplify: Simplify 0 into 0 1545044196.342 * [misc]backup-simplify: Simplify 1 into 1 1545044196.342 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.342 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.343 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.343 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.343 * [misc]backup-simplify: Simplify PI into PI 1545044196.343 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.343 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.343 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.344 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545044196.344 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044196.344 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 k) 1/2)) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044196.344 * [misc]backup-simplify: Simplify 0 into 0 1545044196.344 * [misc]backup-simplify: Simplify 0 into 0 1545044196.344 * [misc]backup-simplify: Simplify 0 into 0 1545044196.344 * [misc]backup-simplify: Simplify 0 into 0 1545044196.344 * [misc]backup-simplify: Simplify 0 into 0 1545044196.344 * [misc]backup-simplify: Simplify 0 into 0 1545044196.345 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow PI (fma -1/2 k 1/2)) 1545044196.345 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) into (pow PI (fma -1/2 (/ -1 k) 1/2)) 1545044196.345 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1545044196.345 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.345 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545044196.345 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545044196.345 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.345 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.345 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.345 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.345 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.345 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.345 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.345 * [misc]backup-simplify: Simplify -1 into -1 1545044196.345 * [misc]taylor: Taking taylor expansion of k in k 1545044196.345 * [misc]backup-simplify: Simplify 0 into 0 1545044196.345 * [misc]backup-simplify: Simplify 1 into 1 1545044196.345 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.345 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.345 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.345 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.345 * [misc]backup-simplify: Simplify PI into PI 1545044196.346 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.346 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.346 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.346 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.347 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044196.347 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.347 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545044196.347 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545044196.347 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.347 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.347 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.347 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.347 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.347 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.347 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.347 * [misc]backup-simplify: Simplify -1 into -1 1545044196.347 * [misc]taylor: Taking taylor expansion of k in k 1545044196.347 * [misc]backup-simplify: Simplify 0 into 0 1545044196.347 * [misc]backup-simplify: Simplify 1 into 1 1545044196.347 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.347 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.347 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.347 * [misc]backup-simplify: Simplify PI into PI 1545044196.348 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.348 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.348 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.348 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.349 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044196.349 * [misc]backup-simplify: Simplify (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044196.349 * [misc]backup-simplify: Simplify 0 into 0 1545044196.349 * [misc]backup-simplify: Simplify 0 into 0 1545044196.349 * [misc]backup-simplify: Simplify 0 into 0 1545044196.349 * [misc]backup-simplify: Simplify 0 into 0 1545044196.349 * [misc]backup-simplify: Simplify 0 into 0 1545044196.349 * [misc]backup-simplify: Simplify 0 into 0 1545044196.350 * [misc]backup-simplify: Simplify (exp (* (log PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2))) into (exp (* (log PI) (fma -1/2 k 1/2))) 1545044196.350 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1545044196.350 * [misc]backup-simplify: Simplify (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) into (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) 1545044196.350 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in (k n) around 0 1545044196.350 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in n 1545044196.350 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in n 1545044196.350 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in n 1545044196.350 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in n 1545044196.350 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044196.350 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.350 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044196.350 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.350 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.350 * [misc]taylor: Taking taylor expansion of k in n 1545044196.350 * [misc]backup-simplify: Simplify k into k 1545044196.350 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.350 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.350 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.350 * [misc]backup-simplify: Simplify PI into PI 1545044196.351 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.351 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044196.351 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044196.351 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545044196.352 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545044196.352 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in n 1545044196.352 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044196.352 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044196.352 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044196.352 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044196.352 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.352 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044196.352 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.352 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.352 * [misc]taylor: Taking taylor expansion of k in n 1545044196.352 * [misc]backup-simplify: Simplify k into k 1545044196.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.352 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.352 * [misc]taylor: Taking taylor expansion of n in n 1545044196.352 * [misc]backup-simplify: Simplify 0 into 0 1545044196.352 * [misc]backup-simplify: Simplify 1 into 1 1545044196.352 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.352 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044196.352 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044196.353 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.353 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044196.353 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044196.353 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in n 1545044196.353 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in n 1545044196.353 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in n 1545044196.353 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044196.353 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.353 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044196.353 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.353 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.353 * [misc]taylor: Taking taylor expansion of k in n 1545044196.353 * [misc]backup-simplify: Simplify k into k 1545044196.353 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.353 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.353 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.353 * [misc]backup-simplify: Simplify 2 into 2 1545044196.353 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.353 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044196.353 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044196.354 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1545044196.354 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1545044196.354 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1545044196.354 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545044196.354 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545044196.354 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545044196.354 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.354 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.354 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.354 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.354 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.354 * [misc]taylor: Taking taylor expansion of k in k 1545044196.354 * [misc]backup-simplify: Simplify 0 into 0 1545044196.354 * [misc]backup-simplify: Simplify 1 into 1 1545044196.354 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.354 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.354 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.354 * [misc]backup-simplify: Simplify PI into PI 1545044196.355 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.355 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.355 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.355 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.356 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545044196.356 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1545044196.356 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044196.356 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044196.356 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044196.356 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.356 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.356 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.356 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.356 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.356 * [misc]taylor: Taking taylor expansion of k in k 1545044196.356 * [misc]backup-simplify: Simplify 0 into 0 1545044196.356 * [misc]backup-simplify: Simplify 1 into 1 1545044196.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.356 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044196.357 * [misc]taylor: Taking taylor expansion of n in k 1545044196.357 * [misc]backup-simplify: Simplify n into n 1545044196.357 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044196.357 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.357 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.357 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044196.357 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044196.357 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1545044196.357 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1545044196.357 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1545044196.357 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.357 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.357 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.357 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.357 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.357 * [misc]taylor: Taking taylor expansion of k in k 1545044196.357 * [misc]backup-simplify: Simplify 0 into 0 1545044196.357 * [misc]backup-simplify: Simplify 1 into 1 1545044196.357 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.357 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.357 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.357 * [misc]backup-simplify: Simplify 2 into 2 1545044196.358 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.358 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.358 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.358 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044196.359 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545044196.359 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1545044196.359 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545044196.359 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545044196.359 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545044196.359 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.359 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.359 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.359 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.359 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.359 * [misc]taylor: Taking taylor expansion of k in k 1545044196.359 * [misc]backup-simplify: Simplify 0 into 0 1545044196.359 * [misc]backup-simplify: Simplify 1 into 1 1545044196.359 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.359 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.359 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.359 * [misc]backup-simplify: Simplify PI into PI 1545044196.359 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.360 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.360 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.360 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.361 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545044196.361 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1545044196.361 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044196.361 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044196.361 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044196.361 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.361 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.361 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.361 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.361 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.361 * [misc]taylor: Taking taylor expansion of k in k 1545044196.361 * [misc]backup-simplify: Simplify 0 into 0 1545044196.361 * [misc]backup-simplify: Simplify 1 into 1 1545044196.361 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.361 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044196.361 * [misc]taylor: Taking taylor expansion of n in k 1545044196.361 * [misc]backup-simplify: Simplify n into n 1545044196.361 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044196.362 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.362 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.362 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044196.362 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044196.362 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1545044196.362 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1545044196.362 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1545044196.362 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.362 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.362 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.362 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.362 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.362 * [misc]taylor: Taking taylor expansion of k in k 1545044196.362 * [misc]backup-simplify: Simplify 0 into 0 1545044196.362 * [misc]backup-simplify: Simplify 1 into 1 1545044196.362 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.362 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.362 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.362 * [misc]backup-simplify: Simplify 2 into 2 1545044196.363 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.363 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.363 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.363 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044196.364 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545044196.364 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow 2 1/2)) into (sqrt (* n 2)) 1545044196.364 * [misc]backup-simplify: Simplify (* (pow PI 1/2) (sqrt (* n 2))) into (* (sqrt 2) (sqrt (* n PI))) 1545044196.364 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545044196.364 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.364 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.364 * [misc]backup-simplify: Simplify 2 into 2 1545044196.365 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.365 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.365 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.365 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.365 * [misc]taylor: Taking taylor expansion of n in n 1545044196.365 * [misc]backup-simplify: Simplify 0 into 0 1545044196.365 * [misc]backup-simplify: Simplify 1 into 1 1545044196.365 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.365 * [misc]backup-simplify: Simplify PI into PI 1545044196.365 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.366 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.366 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.366 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.367 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545044196.367 * [misc]backup-simplify: Simplify 0 into 0 1545044196.369 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044196.369 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044196.369 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.370 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1545044196.373 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1545044196.373 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044196.374 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044196.374 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.374 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545044196.374 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545044196.375 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (sqrt n) (log n))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1545044196.378 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044196.378 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044196.378 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.379 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545044196.382 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545044196.384 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* -1/2 (* (log PI) (sqrt PI))) (sqrt (* n 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 1545044196.384 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 1545044196.384 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1545044196.384 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1545044196.384 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.384 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.384 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1545044196.384 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1545044196.384 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.384 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.384 * [misc]backup-simplify: Simplify 2 into 2 1545044196.384 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.384 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.384 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.384 * [misc]backup-simplify: Simplify 2 into 2 1545044196.385 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.385 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.385 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.385 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.385 * [misc]taylor: Taking taylor expansion of n in n 1545044196.385 * [misc]backup-simplify: Simplify 0 into 0 1545044196.385 * [misc]backup-simplify: Simplify 1 into 1 1545044196.385 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.385 * [misc]backup-simplify: Simplify PI into PI 1545044196.385 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.385 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.385 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.386 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.386 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1545044196.386 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545044196.386 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.386 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545044196.386 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545044196.386 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.386 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.386 * [misc]backup-simplify: Simplify 2 into 2 1545044196.386 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.386 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.386 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.386 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.386 * [misc]backup-simplify: Simplify PI into PI 1545044196.386 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.386 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044196.386 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044196.386 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.386 * [misc]backup-simplify: Simplify PI into PI 1545044196.386 * [misc]taylor: Taking taylor expansion of n in n 1545044196.386 * [misc]backup-simplify: Simplify 0 into 0 1545044196.386 * [misc]backup-simplify: Simplify 1 into 1 1545044196.387 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044196.387 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044196.387 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.387 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.387 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545044196.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.388 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545044196.388 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044196.388 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.388 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.388 * [misc]backup-simplify: Simplify 2 into 2 1545044196.388 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.388 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.388 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.388 * [misc]taylor: Taking taylor expansion of n in n 1545044196.388 * [misc]backup-simplify: Simplify 0 into 0 1545044196.388 * [misc]backup-simplify: Simplify 1 into 1 1545044196.388 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.388 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.388 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.388 * [misc]taylor: Taking taylor expansion of n in n 1545044196.388 * [misc]backup-simplify: Simplify 0 into 0 1545044196.388 * [misc]backup-simplify: Simplify 1 into 1 1545044196.388 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.388 * [misc]backup-simplify: Simplify PI into PI 1545044196.388 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.389 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.389 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.389 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.389 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1545044196.390 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1545044196.390 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044196.390 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545044196.391 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545044196.391 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044196.391 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.391 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044196.391 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545044196.391 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044196.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.391 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.391 * [misc]backup-simplify: Simplify 0 into 0 1545044196.392 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044196.393 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044196.395 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545044196.396 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044196.396 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.396 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1545044196.398 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1545044196.399 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044196.400 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044196.400 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.400 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545044196.401 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044196.402 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1545044196.405 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545044196.405 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044196.405 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.406 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545044196.408 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545044196.412 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (sqrt (* n 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 1545044196.412 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) in n 1545044196.412 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1545044196.412 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545044196.412 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545044196.412 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1545044196.412 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1545044196.412 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.412 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.412 * [misc]backup-simplify: Simplify 2 into 2 1545044196.413 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.413 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.413 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1545044196.413 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.413 * [misc]taylor: Taking taylor expansion of n in n 1545044196.413 * [misc]backup-simplify: Simplify 0 into 0 1545044196.413 * [misc]backup-simplify: Simplify 1 into 1 1545044196.413 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.413 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.413 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.413 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.413 * [misc]taylor: Taking taylor expansion of n in n 1545044196.413 * [misc]backup-simplify: Simplify 0 into 0 1545044196.413 * [misc]backup-simplify: Simplify 1 into 1 1545044196.413 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.413 * [misc]backup-simplify: Simplify PI into PI 1545044196.413 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.414 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.414 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.414 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.414 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))))))) in n 1545044196.414 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1545044196.414 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545044196.414 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545044196.414 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1545044196.414 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1545044196.414 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1545044196.414 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.414 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.414 * [misc]backup-simplify: Simplify 2 into 2 1545044196.415 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.415 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.415 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.415 * [misc]backup-simplify: Simplify 2 into 2 1545044196.415 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.415 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.415 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.415 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.415 * [misc]taylor: Taking taylor expansion of n in n 1545044196.415 * [misc]backup-simplify: Simplify 0 into 0 1545044196.415 * [misc]backup-simplify: Simplify 1 into 1 1545044196.415 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.415 * [misc]backup-simplify: Simplify PI into PI 1545044196.415 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.416 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.416 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.416 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.416 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))) in n 1545044196.416 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545044196.416 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545044196.416 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545044196.416 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545044196.416 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545044196.416 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.416 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.416 * [misc]backup-simplify: Simplify 2 into 2 1545044196.416 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.416 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.416 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545044196.416 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.416 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.416 * [misc]backup-simplify: Simplify PI into PI 1545044196.417 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.417 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044196.417 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044196.417 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.417 * [misc]backup-simplify: Simplify PI into PI 1545044196.417 * [misc]taylor: Taking taylor expansion of n in n 1545044196.417 * [misc]backup-simplify: Simplify 0 into 0 1545044196.417 * [misc]backup-simplify: Simplify 1 into 1 1545044196.417 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044196.417 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044196.417 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.418 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.418 * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))))) in n 1545044196.418 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n 1545044196.418 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545044196.418 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545044196.418 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n 1545044196.418 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n 1545044196.418 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.418 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.418 * [misc]backup-simplify: Simplify 2 into 2 1545044196.418 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.418 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044196.418 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.418 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.418 * [misc]backup-simplify: Simplify 2 into 2 1545044196.418 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.418 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.418 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.418 * [misc]taylor: Taking taylor expansion of n in n 1545044196.418 * [misc]backup-simplify: Simplify 0 into 0 1545044196.418 * [misc]backup-simplify: Simplify 1 into 1 1545044196.418 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.418 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.418 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.418 * [misc]taylor: Taking taylor expansion of n in n 1545044196.418 * [misc]backup-simplify: Simplify 0 into 0 1545044196.419 * [misc]backup-simplify: Simplify 1 into 1 1545044196.419 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.419 * [misc]backup-simplify: Simplify PI into PI 1545044196.419 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.419 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.419 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.420 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))) in n 1545044196.420 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n 1545044196.420 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545044196.420 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545044196.420 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n 1545044196.420 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n 1545044196.420 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.420 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.420 * [misc]backup-simplify: Simplify 2 into 2 1545044196.420 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.420 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545044196.420 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.420 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.420 * [misc]backup-simplify: Simplify 2 into 2 1545044196.420 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.421 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.421 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.421 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.421 * [misc]backup-simplify: Simplify PI into PI 1545044196.421 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.421 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044196.421 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044196.421 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.421 * [misc]backup-simplify: Simplify PI into PI 1545044196.421 * [misc]taylor: Taking taylor expansion of n in n 1545044196.421 * [misc]backup-simplify: Simplify 0 into 0 1545044196.421 * [misc]backup-simplify: Simplify 1 into 1 1545044196.421 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044196.422 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044196.422 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.423 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.423 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n 1545044196.423 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545044196.423 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545044196.423 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n 1545044196.423 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n 1545044196.423 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.423 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.423 * [misc]backup-simplify: Simplify 2 into 2 1545044196.423 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.423 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.423 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1545044196.423 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.423 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.423 * [misc]backup-simplify: Simplify PI into PI 1545044196.424 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.424 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.424 * [misc]taylor: Taking taylor expansion of n in n 1545044196.424 * [misc]backup-simplify: Simplify 0 into 0 1545044196.424 * [misc]backup-simplify: Simplify 1 into 1 1545044196.424 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.424 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044196.424 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044196.424 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.424 * [misc]backup-simplify: Simplify PI into PI 1545044196.424 * [misc]taylor: Taking taylor expansion of n in n 1545044196.424 * [misc]backup-simplify: Simplify 0 into 0 1545044196.424 * [misc]backup-simplify: Simplify 1 into 1 1545044196.424 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044196.425 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044196.425 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.425 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.426 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.426 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.426 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1545044196.426 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1545044196.426 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1545044196.427 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545044196.427 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1545044196.428 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1545044196.428 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1545044196.428 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545044196.429 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545044196.429 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545044196.430 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545044196.430 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545044196.430 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.431 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044196.431 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n))) 1545044196.431 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0 1545044196.431 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545044196.432 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545044196.432 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI))) 1545044196.433 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0 1545044196.433 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545044196.433 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.433 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1545044196.434 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n))) 1545044196.434 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0 1545044196.434 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545044196.434 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.434 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.434 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.435 * [misc]backup-simplify: Simplify 0 into 0 1545044196.436 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044196.436 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1545044196.437 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1545044196.439 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1545044196.440 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044196.440 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545044196.441 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545044196.443 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545044196.445 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044196.445 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.445 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1545044196.445 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044196.446 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044196.447 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))))) 1545044196.449 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545044196.453 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545044196.455 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545044196.456 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545044196.457 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545044196.458 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545044196.459 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044196.460 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044196.464 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545044196.465 * [misc]backup-simplify: Simplify (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) 1545044196.465 * [misc]approximate: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in (k n) around 0 1545044196.465 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545044196.465 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.465 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in n 1545044196.465 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in n 1545044196.465 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.465 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.465 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.465 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.465 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.465 * [misc]taylor: Taking taylor expansion of k in n 1545044196.465 * [misc]backup-simplify: Simplify k into k 1545044196.465 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.465 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.465 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.465 * [misc]backup-simplify: Simplify 2 into 2 1545044196.465 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.465 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.465 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.466 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.466 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545044196.466 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044196.466 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.466 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545044196.466 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545044196.466 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.466 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.466 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.466 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.466 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.466 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.466 * [misc]taylor: Taking taylor expansion of k in n 1545044196.466 * [misc]backup-simplify: Simplify k into k 1545044196.466 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.466 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.466 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.466 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.466 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.466 * [misc]backup-simplify: Simplify PI into PI 1545044196.467 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.467 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.467 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.467 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545044196.467 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.467 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.467 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044196.467 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044196.467 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.467 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.467 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.467 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.467 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.467 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.467 * [misc]taylor: Taking taylor expansion of k in n 1545044196.467 * [misc]backup-simplify: Simplify k into k 1545044196.467 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.467 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.467 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044196.467 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044196.467 * [misc]taylor: Taking taylor expansion of n in n 1545044196.467 * [misc]backup-simplify: Simplify 0 into 0 1545044196.467 * [misc]backup-simplify: Simplify 1 into 1 1545044196.468 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.468 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.468 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.468 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.468 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.468 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044196.468 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044196.468 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1545044196.468 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.468 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1545044196.468 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1545044196.468 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.468 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.468 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.468 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.468 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.468 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.468 * [misc]taylor: Taking taylor expansion of k in k 1545044196.468 * [misc]backup-simplify: Simplify 0 into 0 1545044196.468 * [misc]backup-simplify: Simplify 1 into 1 1545044196.469 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.469 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.469 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.469 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.469 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.469 * [misc]backup-simplify: Simplify 2 into 2 1545044196.469 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.469 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.469 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.469 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545044196.469 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1545044196.469 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044196.469 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.469 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545044196.469 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545044196.469 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.469 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.469 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.470 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.470 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.470 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.470 * [misc]taylor: Taking taylor expansion of k in k 1545044196.470 * [misc]backup-simplify: Simplify 0 into 0 1545044196.470 * [misc]backup-simplify: Simplify 1 into 1 1545044196.470 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.470 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.470 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.470 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.470 * [misc]backup-simplify: Simplify PI into PI 1545044196.470 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.470 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.470 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.470 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545044196.471 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044196.471 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.471 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044196.471 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044196.471 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.471 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.471 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.471 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.471 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.471 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.471 * [misc]taylor: Taking taylor expansion of k in k 1545044196.471 * [misc]backup-simplify: Simplify 0 into 0 1545044196.471 * [misc]backup-simplify: Simplify 1 into 1 1545044196.471 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.471 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.471 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044196.471 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044196.471 * [misc]taylor: Taking taylor expansion of n in k 1545044196.471 * [misc]backup-simplify: Simplify n into n 1545044196.471 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044196.471 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044196.471 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.471 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.472 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044196.472 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044196.472 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1545044196.472 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.472 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1545044196.472 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1545044196.472 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.472 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.472 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.472 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.472 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.472 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.472 * [misc]taylor: Taking taylor expansion of k in k 1545044196.472 * [misc]backup-simplify: Simplify 0 into 0 1545044196.472 * [misc]backup-simplify: Simplify 1 into 1 1545044196.472 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.472 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.472 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.472 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.472 * [misc]backup-simplify: Simplify 2 into 2 1545044196.472 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.472 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.472 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.473 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545044196.473 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1545044196.473 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044196.473 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.473 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545044196.473 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545044196.473 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.473 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.473 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.473 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.473 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.473 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.473 * [misc]taylor: Taking taylor expansion of k in k 1545044196.473 * [misc]backup-simplify: Simplify 0 into 0 1545044196.473 * [misc]backup-simplify: Simplify 1 into 1 1545044196.473 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.473 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.473 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.473 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.473 * [misc]backup-simplify: Simplify PI into PI 1545044196.474 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.474 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.474 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.474 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545044196.474 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044196.474 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.474 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044196.474 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044196.474 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.474 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.474 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.474 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.474 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.474 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.475 * [misc]taylor: Taking taylor expansion of k in k 1545044196.475 * [misc]backup-simplify: Simplify 0 into 0 1545044196.475 * [misc]backup-simplify: Simplify 1 into 1 1545044196.475 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.475 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.475 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044196.475 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044196.475 * [misc]taylor: Taking taylor expansion of n in k 1545044196.475 * [misc]backup-simplify: Simplify n into n 1545044196.475 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044196.475 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044196.475 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.475 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.475 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044196.476 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044196.476 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545044196.476 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) 1545044196.476 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1545044196.476 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1545044196.476 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.476 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.476 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.477 * [misc]backup-simplify: Simplify 2 into 2 1545044196.477 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.477 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.477 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.477 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.477 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.477 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.477 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.477 * [misc]taylor: Taking taylor expansion of k in n 1545044196.477 * [misc]backup-simplify: Simplify k into k 1545044196.477 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.477 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.477 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.477 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.478 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.478 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545044196.478 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1545044196.478 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.478 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044196.478 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044196.478 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.478 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.478 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.478 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.478 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.478 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.478 * [misc]taylor: Taking taylor expansion of k in n 1545044196.478 * [misc]backup-simplify: Simplify k into k 1545044196.478 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.478 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044196.478 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044196.478 * [misc]taylor: Taking taylor expansion of n in n 1545044196.479 * [misc]backup-simplify: Simplify 0 into 0 1545044196.479 * [misc]backup-simplify: Simplify 1 into 1 1545044196.479 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.479 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.479 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.479 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.479 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.479 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044196.480 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044196.480 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.480 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545044196.480 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545044196.480 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.480 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.480 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.480 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.480 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.480 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.480 * [misc]taylor: Taking taylor expansion of k in n 1545044196.480 * [misc]backup-simplify: Simplify k into k 1545044196.480 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.480 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.480 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.480 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.480 * [misc]backup-simplify: Simplify PI into PI 1545044196.481 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.481 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.481 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.481 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545044196.481 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.482 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545044196.482 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545044196.483 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545044196.483 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1545044196.484 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545044196.484 * [misc]taylor: Taking taylor expansion of 0 in n 1545044196.484 * [misc]backup-simplify: Simplify 0 into 0 1545044196.484 * [misc]backup-simplify: Simplify 0 into 0 1545044196.486 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044196.486 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044196.486 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044196.487 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.487 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545044196.488 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.489 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044196.491 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044196.491 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044196.491 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044196.492 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.492 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.492 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545044196.493 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.494 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545044196.494 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044196.494 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044196.494 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.497 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044196.497 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1545044196.498 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.499 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545044196.499 * [misc]backup-simplify: Simplify 0 into 0 1545044196.499 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545044196.500 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044196.500 * [misc]taylor: Taking taylor expansion of 0 in n 1545044196.500 * [misc]backup-simplify: Simplify 0 into 0 1545044196.500 * [misc]backup-simplify: Simplify 0 into 0 1545044196.500 * [misc]backup-simplify: Simplify 0 into 0 1545044196.505 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545044196.505 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044196.505 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044196.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.506 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545044196.508 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044196.509 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044196.513 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545044196.513 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044196.513 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044196.514 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.514 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.514 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545044196.516 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044196.517 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545044196.517 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044196.517 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044196.517 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.522 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545044196.522 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545044196.524 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044196.525 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545044196.525 * [misc]backup-simplify: Simplify 0 into 0 1545044196.525 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044196.526 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))))) into 0 1545044196.526 * [misc]taylor: Taking taylor expansion of 0 in n 1545044196.526 * [misc]backup-simplify: Simplify 0 into 0 1545044196.526 * [misc]backup-simplify: Simplify 0 into 0 1545044196.527 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545044196.527 * [misc]backup-simplify: Simplify (* (* (pow 2 (fma -1/2 (/ 1 (- k)) 1/2)) (pow PI (fma -1/2 (/ 1 (- k)) 1/2))) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) into (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) 1545044196.527 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in (k n) around 0 1545044196.527 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in n 1545044196.528 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.528 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in n 1545044196.528 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in n 1545044196.528 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.528 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.528 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.528 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.528 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.528 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.528 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.528 * [misc]backup-simplify: Simplify -1 into -1 1545044196.528 * [misc]taylor: Taking taylor expansion of k in n 1545044196.528 * [misc]backup-simplify: Simplify k into k 1545044196.528 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.528 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.528 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.528 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.528 * [misc]backup-simplify: Simplify PI into PI 1545044196.529 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.529 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.529 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.529 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545044196.529 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.529 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.529 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.530 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044196.530 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044196.530 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.530 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.530 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.530 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.530 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.530 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.530 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.530 * [misc]backup-simplify: Simplify -1 into -1 1545044196.530 * [misc]taylor: Taking taylor expansion of k in n 1545044196.530 * [misc]backup-simplify: Simplify k into k 1545044196.530 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.530 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044196.530 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044196.530 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.530 * [misc]backup-simplify: Simplify -1 into -1 1545044196.530 * [misc]taylor: Taking taylor expansion of n in n 1545044196.530 * [misc]backup-simplify: Simplify 0 into 0 1545044196.530 * [misc]backup-simplify: Simplify 1 into 1 1545044196.530 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.530 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044196.531 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.531 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.531 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.531 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044196.532 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044196.532 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.532 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in n 1545044196.532 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in n 1545044196.532 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.532 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.532 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.532 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.532 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.532 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.532 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.532 * [misc]backup-simplify: Simplify -1 into -1 1545044196.532 * [misc]taylor: Taking taylor expansion of k in n 1545044196.532 * [misc]backup-simplify: Simplify k into k 1545044196.532 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.532 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.532 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.532 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.532 * [misc]backup-simplify: Simplify 2 into 2 1545044196.532 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.532 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.533 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.533 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.533 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044196.533 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1545044196.533 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.533 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545044196.533 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545044196.533 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.533 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.533 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.533 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.533 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.533 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.534 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.534 * [misc]backup-simplify: Simplify -1 into -1 1545044196.534 * [misc]taylor: Taking taylor expansion of k in k 1545044196.534 * [misc]backup-simplify: Simplify 0 into 0 1545044196.534 * [misc]backup-simplify: Simplify 1 into 1 1545044196.534 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.534 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.534 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.534 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.534 * [misc]backup-simplify: Simplify PI into PI 1545044196.534 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.534 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.534 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.535 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.535 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044196.535 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1545044196.535 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.535 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044196.535 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044196.536 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.536 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.536 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.536 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.536 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.536 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.536 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.536 * [misc]backup-simplify: Simplify -1 into -1 1545044196.536 * [misc]taylor: Taking taylor expansion of k in k 1545044196.536 * [misc]backup-simplify: Simplify 0 into 0 1545044196.536 * [misc]backup-simplify: Simplify 1 into 1 1545044196.536 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.536 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.536 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044196.536 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044196.536 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.536 * [misc]backup-simplify: Simplify -1 into -1 1545044196.536 * [misc]taylor: Taking taylor expansion of n in k 1545044196.536 * [misc]backup-simplify: Simplify n into n 1545044196.536 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044196.536 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044196.536 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.537 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.537 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044196.537 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044196.537 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.537 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1545044196.537 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1545044196.537 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.537 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.537 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.537 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.537 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.537 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.537 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.537 * [misc]backup-simplify: Simplify -1 into -1 1545044196.537 * [misc]taylor: Taking taylor expansion of k in k 1545044196.537 * [misc]backup-simplify: Simplify 0 into 0 1545044196.537 * [misc]backup-simplify: Simplify 1 into 1 1545044196.537 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.537 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.538 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.538 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.538 * [misc]backup-simplify: Simplify 2 into 2 1545044196.538 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.538 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.538 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.538 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044196.539 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1545044196.539 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1545044196.539 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.539 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545044196.539 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545044196.539 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.539 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.539 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.539 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.539 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.539 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.539 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.539 * [misc]backup-simplify: Simplify -1 into -1 1545044196.539 * [misc]taylor: Taking taylor expansion of k in k 1545044196.539 * [misc]backup-simplify: Simplify 0 into 0 1545044196.539 * [misc]backup-simplify: Simplify 1 into 1 1545044196.539 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.539 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.539 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.539 * [misc]backup-simplify: Simplify PI into PI 1545044196.540 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.540 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.540 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.540 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.541 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044196.541 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1545044196.541 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.541 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044196.541 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044196.541 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.541 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.541 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.541 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.541 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.541 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.541 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.541 * [misc]backup-simplify: Simplify -1 into -1 1545044196.541 * [misc]taylor: Taking taylor expansion of k in k 1545044196.541 * [misc]backup-simplify: Simplify 0 into 0 1545044196.541 * [misc]backup-simplify: Simplify 1 into 1 1545044196.541 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.541 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044196.541 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044196.542 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.542 * [misc]backup-simplify: Simplify -1 into -1 1545044196.542 * [misc]taylor: Taking taylor expansion of n in k 1545044196.542 * [misc]backup-simplify: Simplify n into n 1545044196.542 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044196.542 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044196.542 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.542 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.542 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044196.542 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044196.542 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.542 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1545044196.542 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1545044196.542 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.542 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.543 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.543 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.543 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.543 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.543 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.543 * [misc]backup-simplify: Simplify -1 into -1 1545044196.543 * [misc]taylor: Taking taylor expansion of k in k 1545044196.543 * [misc]backup-simplify: Simplify 0 into 0 1545044196.543 * [misc]backup-simplify: Simplify 1 into 1 1545044196.543 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.543 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.543 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.543 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.543 * [misc]backup-simplify: Simplify 2 into 2 1545044196.543 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.543 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.544 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.544 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044196.544 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1545044196.545 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1545044196.546 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1545044196.546 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044196.546 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.546 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.546 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044196.546 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044196.546 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.546 * [misc]backup-simplify: Simplify -1 into -1 1545044196.546 * [misc]taylor: Taking taylor expansion of n in n 1545044196.546 * [misc]backup-simplify: Simplify 0 into 0 1545044196.546 * [misc]backup-simplify: Simplify 1 into 1 1545044196.546 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.546 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044196.546 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.546 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.546 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.546 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.547 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.547 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.547 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.547 * [misc]backup-simplify: Simplify -1 into -1 1545044196.547 * [misc]taylor: Taking taylor expansion of k in n 1545044196.547 * [misc]backup-simplify: Simplify k into k 1545044196.547 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.547 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.547 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.547 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.547 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.548 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044196.548 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044196.548 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044196.548 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.548 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.548 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.548 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.548 * [misc]backup-simplify: Simplify PI into PI 1545044196.548 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.549 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.549 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.549 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.549 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.549 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.549 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.549 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.549 * [misc]backup-simplify: Simplify -1 into -1 1545044196.549 * [misc]taylor: Taking taylor expansion of k in n 1545044196.549 * [misc]backup-simplify: Simplify k into k 1545044196.549 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.549 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.549 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.549 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.550 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545044196.550 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.550 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.550 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.550 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.550 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.550 * [misc]backup-simplify: Simplify 2 into 2 1545044196.550 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.550 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.550 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.550 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.550 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.550 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.550 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.551 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.551 * [misc]backup-simplify: Simplify -1 into -1 1545044196.551 * [misc]taylor: Taking taylor expansion of k in n 1545044196.551 * [misc]backup-simplify: Simplify k into k 1545044196.551 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.551 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.551 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.551 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.551 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044196.552 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545044196.553 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044196.553 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044196.554 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into 0 1545044196.555 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545044196.555 * [misc]taylor: Taking taylor expansion of 0 in n 1545044196.555 * [misc]backup-simplify: Simplify 0 into 0 1545044196.555 * [misc]backup-simplify: Simplify 0 into 0 1545044196.555 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044196.555 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044196.555 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.558 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044196.558 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044196.559 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.560 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044196.560 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044196.560 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.562 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044196.563 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044196.564 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.565 * [misc]backup-simplify: Simplify (+ (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545044196.565 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.565 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044196.566 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044196.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044196.568 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545044196.569 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044196.570 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.571 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545044196.571 * [misc]backup-simplify: Simplify 0 into 0 1545044196.572 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545044196.572 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1545044196.573 * [misc]taylor: Taking taylor expansion of 0 in n 1545044196.573 * [misc]backup-simplify: Simplify 0 into 0 1545044196.573 * [misc]backup-simplify: Simplify 0 into 0 1545044196.573 * [misc]backup-simplify: Simplify 0 into 0 1545044196.573 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044196.573 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545044196.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.578 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545044196.578 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545044196.581 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044196.581 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044196.581 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545044196.581 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.586 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545044196.587 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545044196.589 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044196.590 * [misc]backup-simplify: Simplify (+ (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545044196.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.590 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044196.591 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545044196.591 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.591 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044196.596 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545044196.596 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545044196.598 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044196.599 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545044196.599 * [misc]backup-simplify: Simplify 0 into 0 1545044196.600 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1545044196.601 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))))) into 0 1545044196.601 * [misc]taylor: Taking taylor expansion of 0 in n 1545044196.601 * [misc]backup-simplify: Simplify 0 into 0 1545044196.601 * [misc]backup-simplify: Simplify 0 into 0 1545044196.602 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545044196.602 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545044196.602 * [misc]backup-simplify: Simplify (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k)) into (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) 1545044196.602 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in (k n) around 0 1545044196.602 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in n 1545044196.602 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in n 1545044196.602 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in n 1545044196.602 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in n 1545044196.602 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in n 1545044196.602 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044196.603 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.603 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044196.603 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.603 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.603 * [misc]taylor: Taking taylor expansion of k in n 1545044196.603 * [misc]backup-simplify: Simplify k into k 1545044196.603 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.603 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.603 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.603 * [misc]backup-simplify: Simplify PI into PI 1545044196.603 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.603 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044196.603 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044196.605 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545044196.605 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545044196.605 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in n 1545044196.605 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044196.605 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044196.605 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044196.605 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044196.605 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.605 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044196.605 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.605 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.605 * [misc]taylor: Taking taylor expansion of k in n 1545044196.606 * [misc]backup-simplify: Simplify k into k 1545044196.606 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.606 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.606 * [misc]taylor: Taking taylor expansion of n in n 1545044196.606 * [misc]backup-simplify: Simplify 0 into 0 1545044196.606 * [misc]backup-simplify: Simplify 1 into 1 1545044196.606 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.606 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044196.606 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044196.606 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.606 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044196.607 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044196.607 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in n 1545044196.607 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in n 1545044196.607 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in n 1545044196.607 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044196.607 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.607 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044196.607 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.607 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.607 * [misc]taylor: Taking taylor expansion of k in n 1545044196.607 * [misc]backup-simplify: Simplify k into k 1545044196.607 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.607 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.607 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.607 * [misc]backup-simplify: Simplify 2 into 2 1545044196.607 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.607 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044196.608 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044196.608 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1545044196.608 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1545044196.608 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545044196.608 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.608 * [misc]taylor: Taking taylor expansion of k in n 1545044196.608 * [misc]backup-simplify: Simplify k into k 1545044196.608 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.608 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545044196.608 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044196.609 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545044196.609 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in k 1545044196.609 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1545044196.609 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545044196.609 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545044196.609 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545044196.609 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.609 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.609 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.609 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.609 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.609 * [misc]taylor: Taking taylor expansion of k in k 1545044196.609 * [misc]backup-simplify: Simplify 0 into 0 1545044196.609 * [misc]backup-simplify: Simplify 1 into 1 1545044196.609 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.609 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.609 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.609 * [misc]backup-simplify: Simplify PI into PI 1545044196.610 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.610 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.610 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.610 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.611 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545044196.611 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1545044196.611 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044196.611 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044196.611 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044196.611 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.611 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.611 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.611 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.611 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.611 * [misc]taylor: Taking taylor expansion of k in k 1545044196.611 * [misc]backup-simplify: Simplify 0 into 0 1545044196.611 * [misc]backup-simplify: Simplify 1 into 1 1545044196.611 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.611 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044196.611 * [misc]taylor: Taking taylor expansion of n in k 1545044196.611 * [misc]backup-simplify: Simplify n into n 1545044196.611 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044196.612 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.612 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.612 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044196.612 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044196.612 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1545044196.612 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1545044196.612 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1545044196.612 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.612 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.612 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.612 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.612 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.612 * [misc]taylor: Taking taylor expansion of k in k 1545044196.612 * [misc]backup-simplify: Simplify 0 into 0 1545044196.612 * [misc]backup-simplify: Simplify 1 into 1 1545044196.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.612 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.612 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.612 * [misc]backup-simplify: Simplify 2 into 2 1545044196.612 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.612 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.612 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.613 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044196.613 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545044196.613 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545044196.613 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.613 * [misc]taylor: Taking taylor expansion of k in k 1545044196.613 * [misc]backup-simplify: Simplify 0 into 0 1545044196.613 * [misc]backup-simplify: Simplify 1 into 1 1545044196.613 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.613 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.614 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044196.614 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in k 1545044196.614 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1545044196.614 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545044196.614 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545044196.614 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545044196.614 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.614 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.614 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.614 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.614 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.614 * [misc]taylor: Taking taylor expansion of k in k 1545044196.614 * [misc]backup-simplify: Simplify 0 into 0 1545044196.614 * [misc]backup-simplify: Simplify 1 into 1 1545044196.614 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.614 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.614 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.614 * [misc]backup-simplify: Simplify PI into PI 1545044196.614 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.614 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.614 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.615 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.615 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545044196.615 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1545044196.615 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044196.615 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044196.615 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044196.615 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.615 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.615 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.615 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.615 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.615 * [misc]taylor: Taking taylor expansion of k in k 1545044196.615 * [misc]backup-simplify: Simplify 0 into 0 1545044196.615 * [misc]backup-simplify: Simplify 1 into 1 1545044196.615 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.615 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.615 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044196.615 * [misc]taylor: Taking taylor expansion of n in k 1545044196.616 * [misc]backup-simplify: Simplify n into n 1545044196.616 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044196.616 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.616 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.616 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044196.616 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044196.616 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1545044196.616 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1545044196.616 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1545044196.616 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044196.616 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044196.616 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044196.616 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.616 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.616 * [misc]taylor: Taking taylor expansion of k in k 1545044196.616 * [misc]backup-simplify: Simplify 0 into 0 1545044196.616 * [misc]backup-simplify: Simplify 1 into 1 1545044196.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.616 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.616 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.616 * [misc]backup-simplify: Simplify 2 into 2 1545044196.616 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.616 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044196.617 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044196.617 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044196.617 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545044196.617 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545044196.617 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.617 * [misc]taylor: Taking taylor expansion of k in k 1545044196.617 * [misc]backup-simplify: Simplify 0 into 0 1545044196.617 * [misc]backup-simplify: Simplify 1 into 1 1545044196.617 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.617 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.618 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044196.618 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow 2 1/2)) into (sqrt (* n 2)) 1545044196.618 * [misc]backup-simplify: Simplify (* (pow PI 1/2) (sqrt (* n 2))) into (* (sqrt 2) (sqrt (* n PI))) 1545044196.618 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 1545044196.618 * [misc]taylor: Taking taylor expansion of 0 in n 1545044196.618 * [misc]backup-simplify: Simplify 0 into 0 1545044196.619 * [misc]backup-simplify: Simplify 0 into 0 1545044196.620 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044196.620 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044196.620 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.621 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1545044196.622 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1545044196.623 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044196.623 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044196.623 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.623 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545044196.623 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545044196.624 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (sqrt n) (log n))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1545044196.625 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044196.626 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044196.626 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545044196.628 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545044196.630 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* -1/2 (* (log PI) (sqrt PI))) (sqrt (* n 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 1545044196.631 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545044196.631 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545044196.631 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545044196.631 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.631 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.631 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545044196.631 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.631 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.631 * [misc]backup-simplify: Simplify 2 into 2 1545044196.631 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.631 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.631 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.631 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.631 * [misc]taylor: Taking taylor expansion of n in n 1545044196.631 * [misc]backup-simplify: Simplify 0 into 0 1545044196.631 * [misc]backup-simplify: Simplify 1 into 1 1545044196.631 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.631 * [misc]backup-simplify: Simplify PI into PI 1545044196.632 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.632 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.632 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.632 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.633 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545044196.633 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.633 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.633 * [misc]backup-simplify: Simplify 0 into 0 1545044196.633 * [misc]backup-simplify: Simplify 0 into 0 1545044196.633 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044196.634 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044196.636 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545044196.636 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044196.636 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.637 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1545044196.639 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1545044196.640 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044196.640 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044196.640 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.640 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545044196.641 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044196.642 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1545044196.645 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545044196.645 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044196.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.646 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545044196.649 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545044196.653 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (sqrt (* n 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 1545044196.658 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 1545044196.658 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) in n 1545044196.658 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))) in n 1545044196.658 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1545044196.658 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.658 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.658 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1545044196.658 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1545044196.658 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.658 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.658 * [misc]backup-simplify: Simplify 2 into 2 1545044196.658 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.658 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.658 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.658 * [misc]backup-simplify: Simplify 2 into 2 1545044196.658 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.658 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.658 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.659 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.659 * [misc]taylor: Taking taylor expansion of n in n 1545044196.659 * [misc]backup-simplify: Simplify 0 into 0 1545044196.659 * [misc]backup-simplify: Simplify 1 into 1 1545044196.659 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.659 * [misc]backup-simplify: Simplify PI into PI 1545044196.659 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.659 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.659 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.660 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.660 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) in n 1545044196.660 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))) in n 1545044196.660 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545044196.660 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.660 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.660 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545044196.660 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545044196.660 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.660 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.660 * [misc]backup-simplify: Simplify 2 into 2 1545044196.660 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.660 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.660 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.660 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.660 * [misc]backup-simplify: Simplify PI into PI 1545044196.660 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.660 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044196.660 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044196.660 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.660 * [misc]backup-simplify: Simplify PI into PI 1545044196.660 * [misc]taylor: Taking taylor expansion of n in n 1545044196.660 * [misc]backup-simplify: Simplify 0 into 0 1545044196.660 * [misc]backup-simplify: Simplify 1 into 1 1545044196.661 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044196.661 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044196.661 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.661 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.661 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 1545044196.661 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1545044196.661 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545044196.661 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.661 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.661 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545044196.661 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.661 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.661 * [misc]backup-simplify: Simplify 2 into 2 1545044196.662 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.662 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.662 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.662 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.662 * [misc]taylor: Taking taylor expansion of n in n 1545044196.662 * [misc]backup-simplify: Simplify 0 into 0 1545044196.662 * [misc]backup-simplify: Simplify 1 into 1 1545044196.662 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.662 * [misc]backup-simplify: Simplify PI into PI 1545044196.662 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.662 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.662 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.663 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.663 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1545044196.663 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545044196.663 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.663 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.663 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545044196.663 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044196.663 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.663 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.663 * [misc]backup-simplify: Simplify 2 into 2 1545044196.663 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.663 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.663 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.663 * [misc]taylor: Taking taylor expansion of n in n 1545044196.663 * [misc]backup-simplify: Simplify 0 into 0 1545044196.663 * [misc]backup-simplify: Simplify 1 into 1 1545044196.663 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.663 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.663 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.663 * [misc]taylor: Taking taylor expansion of n in n 1545044196.663 * [misc]backup-simplify: Simplify 0 into 0 1545044196.663 * [misc]backup-simplify: Simplify 1 into 1 1545044196.663 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.663 * [misc]backup-simplify: Simplify PI into PI 1545044196.664 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.664 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.664 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.664 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.665 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1545044196.665 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1545044196.665 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.666 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545044196.666 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545044196.666 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.666 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545044196.666 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.667 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.667 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044196.667 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545044196.667 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.667 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.667 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.667 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.667 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.667 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.668 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.668 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.668 * [misc]backup-simplify: Simplify 0 into 0 1545044196.668 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044196.670 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044196.670 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044196.671 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044196.671 * [misc]backup-simplify: Simplify 0 into 0 1545044196.671 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044196.672 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044196.676 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545044196.676 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545044196.676 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.676 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1545044196.680 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 1545044196.682 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1545044196.682 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545044196.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1545044196.683 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1545044196.687 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (pow (log 2) 3) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow 2 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt n))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt n))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt n))))))) 1545044196.693 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545044196.694 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545044196.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.695 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545044196.702 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1545044196.710 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt n))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt n))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt n)))))))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (sqrt (* n 2)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 1545044196.725 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 1545044196.725 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) in n 1545044196.725 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))))) in n 1545044196.725 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1545044196.725 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.725 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.725 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1545044196.725 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1545044196.725 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.725 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.725 * [misc]backup-simplify: Simplify 2 into 2 1545044196.726 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.726 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.726 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1545044196.726 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.726 * [misc]taylor: Taking taylor expansion of n in n 1545044196.726 * [misc]backup-simplify: Simplify 0 into 0 1545044196.726 * [misc]backup-simplify: Simplify 1 into 1 1545044196.726 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.726 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.726 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.726 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.726 * [misc]taylor: Taking taylor expansion of n in n 1545044196.726 * [misc]backup-simplify: Simplify 0 into 0 1545044196.726 * [misc]backup-simplify: Simplify 1 into 1 1545044196.726 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.726 * [misc]backup-simplify: Simplify PI into PI 1545044196.726 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.727 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.727 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.727 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))) in n 1545044196.727 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))) in n 1545044196.728 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545044196.728 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.728 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.728 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545044196.728 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545044196.728 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.728 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.728 * [misc]backup-simplify: Simplify 2 into 2 1545044196.728 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.728 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.728 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545044196.728 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.728 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.728 * [misc]backup-simplify: Simplify PI into PI 1545044196.729 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.729 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044196.729 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044196.729 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.729 * [misc]backup-simplify: Simplify PI into PI 1545044196.729 * [misc]taylor: Taking taylor expansion of n in n 1545044196.729 * [misc]backup-simplify: Simplify 0 into 0 1545044196.729 * [misc]backup-simplify: Simplify 1 into 1 1545044196.729 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044196.730 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044196.730 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.730 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.730 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))) in n 1545044196.730 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))) in n 1545044196.730 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1545044196.730 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.731 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.731 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1545044196.731 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1545044196.731 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1545044196.731 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.731 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.731 * [misc]backup-simplify: Simplify 2 into 2 1545044196.731 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.731 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.731 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.731 * [misc]backup-simplify: Simplify 2 into 2 1545044196.731 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.731 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.731 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.731 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.731 * [misc]taylor: Taking taylor expansion of n in n 1545044196.732 * [misc]backup-simplify: Simplify 0 into 0 1545044196.732 * [misc]backup-simplify: Simplify 1 into 1 1545044196.732 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.732 * [misc]backup-simplify: Simplify PI into PI 1545044196.732 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.732 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.733 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.733 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.733 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))) in n 1545044196.733 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))) in n 1545044196.733 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545044196.733 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.733 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.733 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545044196.733 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.733 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.733 * [misc]backup-simplify: Simplify 2 into 2 1545044196.734 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.734 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.734 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.734 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.734 * [misc]taylor: Taking taylor expansion of n in n 1545044196.734 * [misc]backup-simplify: Simplify 0 into 0 1545044196.734 * [misc]backup-simplify: Simplify 1 into 1 1545044196.734 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.734 * [misc]backup-simplify: Simplify PI into PI 1545044196.734 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.735 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.735 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.736 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.736 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))) in n 1545044196.736 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))) in n 1545044196.736 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545044196.736 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.736 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.736 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545044196.736 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044196.736 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.736 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.736 * [misc]backup-simplify: Simplify 2 into 2 1545044196.736 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.736 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.736 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.736 * [misc]taylor: Taking taylor expansion of n in n 1545044196.736 * [misc]backup-simplify: Simplify 0 into 0 1545044196.736 * [misc]backup-simplify: Simplify 1 into 1 1545044196.737 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.737 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.737 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.737 * [misc]taylor: Taking taylor expansion of n in n 1545044196.737 * [misc]backup-simplify: Simplify 0 into 0 1545044196.737 * [misc]backup-simplify: Simplify 1 into 1 1545044196.737 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.737 * [misc]backup-simplify: Simplify PI into PI 1545044196.737 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.738 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.738 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.738 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.738 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))) in n 1545044196.738 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))) in n 1545044196.738 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545044196.739 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.739 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.739 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545044196.739 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545044196.739 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.739 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.739 * [misc]backup-simplify: Simplify 2 into 2 1545044196.739 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.739 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.739 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.739 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.739 * [misc]backup-simplify: Simplify PI into PI 1545044196.739 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.739 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044196.740 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044196.740 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.740 * [misc]backup-simplify: Simplify PI into PI 1545044196.740 * [misc]taylor: Taking taylor expansion of n in n 1545044196.740 * [misc]backup-simplify: Simplify 0 into 0 1545044196.740 * [misc]backup-simplify: Simplify 1 into 1 1545044196.740 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044196.741 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044196.741 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.741 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.741 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))) in n 1545044196.741 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))) in n 1545044196.741 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n 1545044196.741 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.741 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.741 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n 1545044196.741 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n 1545044196.741 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.742 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.742 * [misc]backup-simplify: Simplify 2 into 2 1545044196.742 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.742 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.742 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1545044196.742 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.742 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.742 * [misc]backup-simplify: Simplify PI into PI 1545044196.742 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.742 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.742 * [misc]taylor: Taking taylor expansion of n in n 1545044196.742 * [misc]backup-simplify: Simplify 0 into 0 1545044196.742 * [misc]backup-simplify: Simplify 1 into 1 1545044196.743 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.743 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044196.743 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044196.743 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.743 * [misc]backup-simplify: Simplify PI into PI 1545044196.743 * [misc]taylor: Taking taylor expansion of n in n 1545044196.743 * [misc]backup-simplify: Simplify 0 into 0 1545044196.743 * [misc]backup-simplify: Simplify 1 into 1 1545044196.743 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044196.744 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044196.744 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.744 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.744 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))) in n 1545044196.744 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))) in n 1545044196.744 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n 1545044196.745 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.745 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.745 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n 1545044196.745 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n 1545044196.745 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.745 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.745 * [misc]backup-simplify: Simplify 2 into 2 1545044196.745 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.745 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044196.745 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.745 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.745 * [misc]backup-simplify: Simplify 2 into 2 1545044196.745 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.745 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.745 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044196.745 * [misc]taylor: Taking taylor expansion of n in n 1545044196.745 * [misc]backup-simplify: Simplify 0 into 0 1545044196.746 * [misc]backup-simplify: Simplify 1 into 1 1545044196.746 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.746 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.746 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.746 * [misc]taylor: Taking taylor expansion of n in n 1545044196.746 * [misc]backup-simplify: Simplify 0 into 0 1545044196.746 * [misc]backup-simplify: Simplify 1 into 1 1545044196.746 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.746 * [misc]backup-simplify: Simplify PI into PI 1545044196.746 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.747 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.747 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.747 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.747 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))) in n 1545044196.747 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))) in n 1545044196.748 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n 1545044196.748 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.748 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.748 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n 1545044196.748 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n 1545044196.748 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.748 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.748 * [misc]backup-simplify: Simplify 2 into 2 1545044196.748 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.748 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545044196.748 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.748 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.748 * [misc]backup-simplify: Simplify 2 into 2 1545044196.748 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.748 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.748 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.749 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.749 * [misc]backup-simplify: Simplify PI into PI 1545044196.749 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.749 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044196.749 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044196.749 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.749 * [misc]backup-simplify: Simplify PI into PI 1545044196.749 * [misc]taylor: Taking taylor expansion of n in n 1545044196.749 * [misc]backup-simplify: Simplify 0 into 0 1545044196.749 * [misc]backup-simplify: Simplify 1 into 1 1545044196.749 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044196.750 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044196.750 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.751 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.751 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))) in n 1545044196.751 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1545044196.751 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.751 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.751 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1545044196.751 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1545044196.751 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.751 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.751 * [misc]backup-simplify: Simplify 2 into 2 1545044196.751 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.751 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044196.751 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.751 * [misc]backup-simplify: Simplify 2 into 2 1545044196.751 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044196.752 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044196.752 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044196.752 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044196.752 * [misc]taylor: Taking taylor expansion of n in n 1545044196.752 * [misc]backup-simplify: Simplify 0 into 0 1545044196.752 * [misc]backup-simplify: Simplify 1 into 1 1545044196.752 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.752 * [misc]backup-simplify: Simplify PI into PI 1545044196.752 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044196.753 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044196.753 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.753 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044196.753 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.754 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.754 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1545044196.754 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1545044196.754 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1545044196.755 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.755 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545044196.756 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545044196.757 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545044196.757 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.757 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1545044196.758 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1545044196.758 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1545044196.759 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.759 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545044196.759 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.759 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.759 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044196.759 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545044196.759 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.760 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545044196.760 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545044196.760 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.761 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.761 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1545044196.761 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n))) 1545044196.761 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0 1545044196.761 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.762 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.762 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044196.762 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n))) 1545044196.762 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0 1545044196.762 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.763 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545044196.763 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI))) 1545044196.764 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0 1545044196.764 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.765 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1545044196.765 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1545044196.765 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044196.765 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.765 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.765 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.765 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.765 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.765 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.765 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.766 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.766 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.766 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.766 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.766 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.766 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.766 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.766 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.766 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.766 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.767 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.767 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.767 * [misc]backup-simplify: Simplify 0 into 0 1545044196.768 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044196.768 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1545044196.769 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1545044196.771 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1545044196.772 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044196.773 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545044196.774 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545044196.775 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545044196.776 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044196.777 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044196.778 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044196.779 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044196.779 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1545044196.779 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044196.780 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044196.780 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044196.781 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1545044196.781 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1545044196.783 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545044196.787 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545044196.800 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545044196.807 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545044196.814 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545044196.815 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545044196.816 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545044196.818 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545044196.820 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044196.824 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044196.826 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044196.827 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044196.838 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545044196.838 * [misc]backup-simplify: Simplify (/ (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt (/ 1 k))) into (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) 1545044196.839 * [misc]approximate: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in (k n) around 0 1545044196.839 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in n 1545044196.839 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545044196.839 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.839 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in n 1545044196.839 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in n 1545044196.839 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.839 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.839 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.839 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.839 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.839 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.839 * [misc]taylor: Taking taylor expansion of k in n 1545044196.839 * [misc]backup-simplify: Simplify k into k 1545044196.839 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.839 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.839 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.839 * [misc]backup-simplify: Simplify 2 into 2 1545044196.840 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.840 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.840 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.840 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.840 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545044196.840 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044196.840 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.840 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545044196.841 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545044196.841 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.841 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.841 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.841 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.841 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.841 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.841 * [misc]taylor: Taking taylor expansion of k in n 1545044196.841 * [misc]backup-simplify: Simplify k into k 1545044196.841 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.841 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.841 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.841 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.841 * [misc]backup-simplify: Simplify PI into PI 1545044196.842 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.842 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.842 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.842 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545044196.842 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.842 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.843 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044196.843 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044196.843 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.843 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.843 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.843 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.843 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.843 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.843 * [misc]taylor: Taking taylor expansion of k in n 1545044196.843 * [misc]backup-simplify: Simplify k into k 1545044196.843 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.843 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.843 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044196.843 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044196.843 * [misc]taylor: Taking taylor expansion of n in n 1545044196.843 * [misc]backup-simplify: Simplify 0 into 0 1545044196.843 * [misc]backup-simplify: Simplify 1 into 1 1545044196.843 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.844 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.844 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.844 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.844 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.844 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044196.844 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044196.844 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545044196.845 * [misc]taylor: Taking taylor expansion of k in n 1545044196.845 * [misc]backup-simplify: Simplify k into k 1545044196.845 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545044196.845 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545044196.845 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in k 1545044196.845 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1545044196.845 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.845 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1545044196.845 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1545044196.845 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.845 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.845 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.845 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.845 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.845 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.845 * [misc]taylor: Taking taylor expansion of k in k 1545044196.845 * [misc]backup-simplify: Simplify 0 into 0 1545044196.845 * [misc]backup-simplify: Simplify 1 into 1 1545044196.845 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.845 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.845 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.846 * [misc]backup-simplify: Simplify 2 into 2 1545044196.846 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.846 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.846 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.846 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545044196.847 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1545044196.847 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044196.847 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.847 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545044196.847 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545044196.847 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.847 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.847 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.847 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.847 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.847 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.847 * [misc]taylor: Taking taylor expansion of k in k 1545044196.847 * [misc]backup-simplify: Simplify 0 into 0 1545044196.847 * [misc]backup-simplify: Simplify 1 into 1 1545044196.847 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.847 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.847 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.847 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.847 * [misc]backup-simplify: Simplify PI into PI 1545044196.848 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.848 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.848 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.849 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545044196.849 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044196.849 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.849 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044196.849 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044196.849 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.849 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.849 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.849 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.849 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.849 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.849 * [misc]taylor: Taking taylor expansion of k in k 1545044196.849 * [misc]backup-simplify: Simplify 0 into 0 1545044196.849 * [misc]backup-simplify: Simplify 1 into 1 1545044196.850 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.850 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.850 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044196.850 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044196.850 * [misc]taylor: Taking taylor expansion of n in k 1545044196.850 * [misc]backup-simplify: Simplify n into n 1545044196.850 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044196.850 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044196.850 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.850 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.850 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044196.850 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044196.850 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545044196.851 * [misc]taylor: Taking taylor expansion of k in k 1545044196.851 * [misc]backup-simplify: Simplify 0 into 0 1545044196.851 * [misc]backup-simplify: Simplify 1 into 1 1545044196.851 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.851 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044196.851 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in k 1545044196.851 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1545044196.851 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.851 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1545044196.851 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1545044196.851 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.852 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.852 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.852 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.852 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.852 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.852 * [misc]taylor: Taking taylor expansion of k in k 1545044196.852 * [misc]backup-simplify: Simplify 0 into 0 1545044196.852 * [misc]backup-simplify: Simplify 1 into 1 1545044196.852 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.852 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.852 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.852 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.852 * [misc]backup-simplify: Simplify 2 into 2 1545044196.852 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.852 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.853 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.853 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545044196.853 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1545044196.853 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044196.853 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.853 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545044196.853 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545044196.853 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.853 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.853 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.854 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.854 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.854 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.854 * [misc]taylor: Taking taylor expansion of k in k 1545044196.854 * [misc]backup-simplify: Simplify 0 into 0 1545044196.854 * [misc]backup-simplify: Simplify 1 into 1 1545044196.854 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.854 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.854 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.854 * [misc]backup-simplify: Simplify PI into PI 1545044196.854 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.854 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.855 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.855 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545044196.855 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044196.855 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044196.855 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044196.855 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044196.856 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044196.856 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.856 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044196.856 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.856 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.856 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044196.856 * [misc]taylor: Taking taylor expansion of k in k 1545044196.856 * [misc]backup-simplify: Simplify 0 into 0 1545044196.856 * [misc]backup-simplify: Simplify 1 into 1 1545044196.856 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.856 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.856 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044196.856 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044196.856 * [misc]taylor: Taking taylor expansion of n in k 1545044196.856 * [misc]backup-simplify: Simplify n into n 1545044196.856 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044196.856 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044196.856 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044196.857 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044196.857 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044196.857 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044196.857 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545044196.857 * [misc]taylor: Taking taylor expansion of k in k 1545044196.857 * [misc]backup-simplify: Simplify 0 into 0 1545044196.857 * [misc]backup-simplify: Simplify 1 into 1 1545044196.857 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.858 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044196.858 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545044196.859 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) 1545044196.859 * [misc]backup-simplify: Simplify (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) 0) into 0 1545044196.859 * [misc]taylor: Taking taylor expansion of 0 in n 1545044196.859 * [misc]backup-simplify: Simplify 0 into 0 1545044196.859 * [misc]backup-simplify: Simplify 0 into 0 1545044196.860 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1545044196.860 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545044196.861 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) 1545044196.861 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) in n 1545044196.861 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))))) in n 1545044196.861 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.861 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.861 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1545044196.861 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1545044196.861 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.861 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.861 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.861 * [misc]backup-simplify: Simplify 2 into 2 1545044196.861 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.861 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.862 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.862 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.862 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.862 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.862 * [misc]taylor: Taking taylor expansion of k in n 1545044196.862 * [misc]backup-simplify: Simplify k into k 1545044196.862 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.862 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.862 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.862 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.863 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545044196.863 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1545044196.863 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.863 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044196.863 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044196.863 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.863 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.863 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.863 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.863 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.863 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.863 * [misc]taylor: Taking taylor expansion of k in n 1545044196.863 * [misc]backup-simplify: Simplify k into k 1545044196.863 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.863 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044196.863 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044196.863 * [misc]taylor: Taking taylor expansion of n in n 1545044196.863 * [misc]backup-simplify: Simplify 0 into 0 1545044196.863 * [misc]backup-simplify: Simplify 1 into 1 1545044196.864 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.864 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.864 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.864 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.864 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.864 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044196.864 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044196.864 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.865 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545044196.865 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545044196.865 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.865 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.865 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.865 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.865 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.865 * [misc]taylor: Taking taylor expansion of k in n 1545044196.865 * [misc]backup-simplify: Simplify k into k 1545044196.865 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.865 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.865 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.865 * [misc]backup-simplify: Simplify PI into PI 1545044196.865 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.866 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.866 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.866 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545044196.866 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.867 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545044196.867 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545044196.868 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545044196.869 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044196.869 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044196.869 * [misc]backup-simplify: Simplify 0 into 0 1545044196.871 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044196.871 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545044196.872 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044196.872 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) 1545044196.873 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) in n 1545044196.873 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))))) in n 1545044196.873 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.873 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.873 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1545044196.873 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1545044196.873 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.873 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.873 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.873 * [misc]backup-simplify: Simplify 2 into 2 1545044196.873 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.873 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.873 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.873 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.873 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.873 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.873 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.873 * [misc]taylor: Taking taylor expansion of k in n 1545044196.873 * [misc]backup-simplify: Simplify k into k 1545044196.873 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.873 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.874 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.874 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.874 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.874 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545044196.874 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1545044196.874 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.874 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044196.874 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044196.874 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.874 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.874 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.875 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.875 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.875 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.875 * [misc]taylor: Taking taylor expansion of k in n 1545044196.875 * [misc]backup-simplify: Simplify k into k 1545044196.875 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.875 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044196.875 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044196.875 * [misc]taylor: Taking taylor expansion of n in n 1545044196.875 * [misc]backup-simplify: Simplify 0 into 0 1545044196.875 * [misc]backup-simplify: Simplify 1 into 1 1545044196.875 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.875 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.875 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.875 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.876 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.876 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044196.876 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044196.876 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.876 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545044196.876 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545044196.876 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.876 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.876 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.876 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.876 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.876 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.876 * [misc]taylor: Taking taylor expansion of k in n 1545044196.876 * [misc]backup-simplify: Simplify k into k 1545044196.876 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.876 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.876 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.877 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.877 * [misc]backup-simplify: Simplify PI into PI 1545044196.877 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.877 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.877 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.877 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545044196.878 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.878 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545044196.878 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545044196.879 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545044196.880 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044196.880 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044196.883 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044196.883 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044196.883 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044196.883 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.884 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545044196.885 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.885 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044196.887 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044196.888 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044196.888 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044196.888 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.888 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.888 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545044196.889 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.890 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545044196.890 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044196.890 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044196.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.892 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044196.893 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1545044196.894 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.894 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545044196.895 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545044196.895 * [misc]backup-simplify: Simplify (- 0) into 0 1545044196.895 * [misc]backup-simplify: Simplify 0 into 0 1545044196.895 * [misc]backup-simplify: Simplify 0 into 0 1545044196.897 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044196.897 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044196.898 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))))) into 0 1545044196.899 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) 1545044196.899 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) in n 1545044196.899 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))))) in n 1545044196.899 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.899 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.899 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1545044196.899 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1545044196.899 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.899 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.899 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.899 * [misc]backup-simplify: Simplify 2 into 2 1545044196.899 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.899 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.899 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.899 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.899 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.899 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.900 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.900 * [misc]taylor: Taking taylor expansion of k in n 1545044196.900 * [misc]backup-simplify: Simplify k into k 1545044196.900 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.900 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.900 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.900 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.900 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.900 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545044196.900 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1545044196.900 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.901 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044196.901 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044196.901 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.901 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.901 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.901 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.901 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.901 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.901 * [misc]taylor: Taking taylor expansion of k in n 1545044196.901 * [misc]backup-simplify: Simplify k into k 1545044196.901 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.901 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.901 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044196.901 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044196.901 * [misc]taylor: Taking taylor expansion of n in n 1545044196.901 * [misc]backup-simplify: Simplify 0 into 0 1545044196.901 * [misc]backup-simplify: Simplify 1 into 1 1545044196.901 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044196.901 * [misc]backup-simplify: Simplify (log 1) into 0 1545044196.901 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.902 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.902 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044196.902 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044196.902 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044196.902 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545044196.902 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545044196.902 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545044196.902 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044196.902 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044196.902 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044196.902 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.902 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.902 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044196.902 * [misc]taylor: Taking taylor expansion of k in n 1545044196.902 * [misc]backup-simplify: Simplify k into k 1545044196.903 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044196.903 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.903 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.903 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.903 * [misc]backup-simplify: Simplify PI into PI 1545044196.903 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.903 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044196.903 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044196.903 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545044196.904 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545044196.904 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545044196.905 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545044196.905 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545044196.906 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044196.906 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044196.909 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1545044196.910 * [misc]backup-simplify: Simplify (/ (* (* (pow 2 (fma -1/2 (/ 1 (- k)) 1/2)) (pow PI (fma -1/2 (/ 1 (- k)) 1/2))) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) (sqrt (/ 1 (- k)))) into (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) 1545044196.910 * [misc]approximate: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in (k n) around 0 1545044196.910 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in n 1545044196.910 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in n 1545044196.910 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.910 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in n 1545044196.910 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in n 1545044196.910 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.910 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.910 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.910 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.910 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.910 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.910 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.911 * [misc]backup-simplify: Simplify -1 into -1 1545044196.911 * [misc]taylor: Taking taylor expansion of k in n 1545044196.911 * [misc]backup-simplify: Simplify k into k 1545044196.911 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.911 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.911 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.911 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.911 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.911 * [misc]backup-simplify: Simplify PI into PI 1545044196.911 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.911 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.911 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.912 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545044196.912 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.912 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.912 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.912 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044196.912 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044196.912 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.912 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.912 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.912 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.913 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.913 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.913 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.913 * [misc]backup-simplify: Simplify -1 into -1 1545044196.913 * [misc]taylor: Taking taylor expansion of k in n 1545044196.913 * [misc]backup-simplify: Simplify k into k 1545044196.913 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.913 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.913 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044196.913 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044196.913 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.913 * [misc]backup-simplify: Simplify -1 into -1 1545044196.913 * [misc]taylor: Taking taylor expansion of n in n 1545044196.913 * [misc]backup-simplify: Simplify 0 into 0 1545044196.913 * [misc]backup-simplify: Simplify 1 into 1 1545044196.913 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.913 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044196.913 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.913 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.914 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.914 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044196.914 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044196.914 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.915 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in n 1545044196.915 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in n 1545044196.915 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.915 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.915 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.915 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.915 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.915 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.915 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.915 * [misc]backup-simplify: Simplify -1 into -1 1545044196.915 * [misc]taylor: Taking taylor expansion of k in n 1545044196.915 * [misc]backup-simplify: Simplify k into k 1545044196.915 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.915 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.915 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.915 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.915 * [misc]backup-simplify: Simplify 2 into 2 1545044196.915 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.915 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.915 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.916 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.916 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044196.916 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545044196.916 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.916 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.916 * [misc]backup-simplify: Simplify -1 into -1 1545044196.916 * [misc]taylor: Taking taylor expansion of k in n 1545044196.916 * [misc]backup-simplify: Simplify k into k 1545044196.916 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.916 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545044196.916 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044196.917 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545044196.917 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044196.918 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044196.919 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1545044196.919 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in k 1545044196.919 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1545044196.919 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.919 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545044196.919 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545044196.919 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.919 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.919 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.919 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.919 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.919 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.919 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.919 * [misc]backup-simplify: Simplify -1 into -1 1545044196.919 * [misc]taylor: Taking taylor expansion of k in k 1545044196.919 * [misc]backup-simplify: Simplify 0 into 0 1545044196.919 * [misc]backup-simplify: Simplify 1 into 1 1545044196.920 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.920 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.920 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.920 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.920 * [misc]backup-simplify: Simplify PI into PI 1545044196.920 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.920 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.920 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.921 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.921 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044196.921 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1545044196.921 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.921 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044196.921 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044196.921 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.921 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.921 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.921 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.921 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.922 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.922 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.922 * [misc]backup-simplify: Simplify -1 into -1 1545044196.922 * [misc]taylor: Taking taylor expansion of k in k 1545044196.922 * [misc]backup-simplify: Simplify 0 into 0 1545044196.922 * [misc]backup-simplify: Simplify 1 into 1 1545044196.922 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.922 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044196.922 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044196.922 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.922 * [misc]backup-simplify: Simplify -1 into -1 1545044196.922 * [misc]taylor: Taking taylor expansion of n in k 1545044196.922 * [misc]backup-simplify: Simplify n into n 1545044196.922 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044196.922 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044196.922 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.922 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.923 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044196.923 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044196.923 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.923 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1545044196.923 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1545044196.923 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.923 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.923 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.923 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.923 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.923 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.923 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.923 * [misc]backup-simplify: Simplify -1 into -1 1545044196.923 * [misc]taylor: Taking taylor expansion of k in k 1545044196.923 * [misc]backup-simplify: Simplify 0 into 0 1545044196.923 * [misc]backup-simplify: Simplify 1 into 1 1545044196.923 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.923 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.923 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.924 * [misc]backup-simplify: Simplify 2 into 2 1545044196.924 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.924 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.924 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.924 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044196.925 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1545044196.925 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545044196.925 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.925 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.925 * [misc]backup-simplify: Simplify -1 into -1 1545044196.925 * [misc]taylor: Taking taylor expansion of k in k 1545044196.925 * [misc]backup-simplify: Simplify 0 into 0 1545044196.925 * [misc]backup-simplify: Simplify 1 into 1 1545044196.925 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.925 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.926 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545044196.926 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1545044196.927 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1545044196.927 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) 1545044196.927 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in k 1545044196.927 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1545044196.927 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.928 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545044196.928 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545044196.928 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.928 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.928 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.928 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.928 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.928 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.928 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.928 * [misc]backup-simplify: Simplify -1 into -1 1545044196.928 * [misc]taylor: Taking taylor expansion of k in k 1545044196.928 * [misc]backup-simplify: Simplify 0 into 0 1545044196.928 * [misc]backup-simplify: Simplify 1 into 1 1545044196.928 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.928 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.928 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044196.928 * [misc]taylor: Taking taylor expansion of PI in k 1545044196.928 * [misc]backup-simplify: Simplify PI into PI 1545044196.928 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.929 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.929 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.929 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044196.930 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044196.930 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1545044196.930 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.930 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044196.930 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044196.930 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.930 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.930 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.930 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.930 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.930 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.930 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.930 * [misc]backup-simplify: Simplify -1 into -1 1545044196.930 * [misc]taylor: Taking taylor expansion of k in k 1545044196.930 * [misc]backup-simplify: Simplify 0 into 0 1545044196.930 * [misc]backup-simplify: Simplify 1 into 1 1545044196.930 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.930 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.930 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044196.930 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044196.930 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.930 * [misc]backup-simplify: Simplify -1 into -1 1545044196.930 * [misc]taylor: Taking taylor expansion of n in k 1545044196.930 * [misc]backup-simplify: Simplify n into n 1545044196.930 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044196.931 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044196.931 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.931 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.931 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044196.931 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044196.931 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1545044196.931 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1545044196.931 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1545044196.931 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044196.931 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.931 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044196.931 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044196.931 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.931 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.931 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.932 * [misc]backup-simplify: Simplify -1 into -1 1545044196.932 * [misc]taylor: Taking taylor expansion of k in k 1545044196.932 * [misc]backup-simplify: Simplify 0 into 0 1545044196.932 * [misc]backup-simplify: Simplify 1 into 1 1545044196.932 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.932 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044196.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.932 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044196.932 * [misc]taylor: Taking taylor expansion of 2 in k 1545044196.932 * [misc]backup-simplify: Simplify 2 into 2 1545044196.932 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.932 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044196.932 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044196.933 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044196.933 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1545044196.933 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545044196.933 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044196.933 * [misc]taylor: Taking taylor expansion of -1 in k 1545044196.933 * [misc]backup-simplify: Simplify -1 into -1 1545044196.933 * [misc]taylor: Taking taylor expansion of k in k 1545044196.933 * [misc]backup-simplify: Simplify 0 into 0 1545044196.933 * [misc]backup-simplify: Simplify 1 into 1 1545044196.933 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.933 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044196.934 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545044196.934 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1545044196.935 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1545044196.936 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) 1545044196.936 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1545044196.936 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.936 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.936 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044196.936 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.936 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.936 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044196.936 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044196.936 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.936 * [misc]backup-simplify: Simplify -1 into -1 1545044196.936 * [misc]taylor: Taking taylor expansion of n in n 1545044196.936 * [misc]backup-simplify: Simplify 0 into 0 1545044196.936 * [misc]backup-simplify: Simplify 1 into 1 1545044196.937 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.937 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044196.937 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.937 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.937 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.937 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.937 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.937 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.937 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.937 * [misc]backup-simplify: Simplify -1 into -1 1545044196.937 * [misc]taylor: Taking taylor expansion of k in n 1545044196.937 * [misc]backup-simplify: Simplify k into k 1545044196.937 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.938 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.938 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.938 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.938 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044196.938 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044196.938 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044196.938 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.938 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.938 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.939 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.939 * [misc]backup-simplify: Simplify PI into PI 1545044196.939 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.939 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.939 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.939 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.939 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.939 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.939 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.939 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.939 * [misc]backup-simplify: Simplify -1 into -1 1545044196.939 * [misc]taylor: Taking taylor expansion of k in n 1545044196.939 * [misc]backup-simplify: Simplify k into k 1545044196.939 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.939 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.939 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.939 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.940 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545044196.940 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.940 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.940 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.940 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.940 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.940 * [misc]backup-simplify: Simplify 2 into 2 1545044196.940 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.940 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.940 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.941 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.941 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.941 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.941 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.941 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.941 * [misc]backup-simplify: Simplify -1 into -1 1545044196.941 * [misc]taylor: Taking taylor expansion of k in n 1545044196.941 * [misc]backup-simplify: Simplify k into k 1545044196.941 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.941 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.941 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.941 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.941 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.942 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044196.942 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545044196.943 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044196.943 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545044196.944 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545044196.944 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into 0 1545044196.944 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545044196.945 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044196.945 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044196.946 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) 1545044196.946 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) in n 1545044196.946 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1545044196.946 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.946 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.946 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044196.946 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.946 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.946 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044196.946 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044196.946 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.946 * [misc]backup-simplify: Simplify -1 into -1 1545044196.946 * [misc]taylor: Taking taylor expansion of n in n 1545044196.946 * [misc]backup-simplify: Simplify 0 into 0 1545044196.946 * [misc]backup-simplify: Simplify 1 into 1 1545044196.946 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.947 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044196.947 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.947 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.947 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.947 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.947 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.947 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.947 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.947 * [misc]backup-simplify: Simplify -1 into -1 1545044196.947 * [misc]taylor: Taking taylor expansion of k in n 1545044196.947 * [misc]backup-simplify: Simplify k into k 1545044196.947 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.947 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.947 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.947 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.947 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.947 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044196.948 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044196.948 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044196.948 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.948 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.948 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.948 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.948 * [misc]backup-simplify: Simplify PI into PI 1545044196.948 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.948 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.948 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.948 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.948 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.948 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.948 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.948 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.948 * [misc]backup-simplify: Simplify -1 into -1 1545044196.948 * [misc]taylor: Taking taylor expansion of k in n 1545044196.948 * [misc]backup-simplify: Simplify k into k 1545044196.948 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.948 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.948 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.948 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.948 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545044196.949 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.949 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.949 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.949 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.949 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.949 * [misc]backup-simplify: Simplify 2 into 2 1545044196.949 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.949 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.949 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.949 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.949 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.949 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.949 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.949 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.949 * [misc]backup-simplify: Simplify -1 into -1 1545044196.949 * [misc]taylor: Taking taylor expansion of k in n 1545044196.949 * [misc]backup-simplify: Simplify k into k 1545044196.949 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.949 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.949 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.949 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.950 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044196.950 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545044196.950 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044196.951 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545044196.951 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545044196.952 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545044196.952 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044196.952 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044196.952 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.954 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044196.954 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044196.954 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.955 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044196.955 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044196.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.956 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044196.957 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044196.957 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.958 * [misc]backup-simplify: Simplify (+ (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545044196.958 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.958 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044196.958 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044196.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044196.958 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044196.960 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545044196.960 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044196.961 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044196.961 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545044196.962 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545044196.962 * [misc]backup-simplify: Simplify 0 into 0 1545044196.962 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545044196.963 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1545044196.963 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044196.964 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044196.965 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) 1545044196.965 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) in n 1545044196.965 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1545044196.965 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044196.965 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044196.965 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044196.965 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.965 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.965 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044196.965 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044196.965 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.965 * [misc]backup-simplify: Simplify -1 into -1 1545044196.965 * [misc]taylor: Taking taylor expansion of n in n 1545044196.965 * [misc]backup-simplify: Simplify 0 into 0 1545044196.965 * [misc]backup-simplify: Simplify 1 into 1 1545044196.965 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044196.966 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044196.966 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.966 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.966 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.966 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.966 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.966 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.966 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.966 * [misc]backup-simplify: Simplify -1 into -1 1545044196.966 * [misc]taylor: Taking taylor expansion of k in n 1545044196.966 * [misc]backup-simplify: Simplify k into k 1545044196.966 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.966 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044196.966 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.966 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.966 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044196.967 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044196.967 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044196.967 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.967 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.967 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044196.967 * [misc]taylor: Taking taylor expansion of PI in n 1545044196.967 * [misc]backup-simplify: Simplify PI into PI 1545044196.967 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044196.967 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.967 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.967 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.967 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.967 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.967 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.967 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.967 * [misc]backup-simplify: Simplify -1 into -1 1545044196.967 * [misc]taylor: Taking taylor expansion of k in n 1545044196.967 * [misc]backup-simplify: Simplify k into k 1545044196.967 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.967 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.967 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.967 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.967 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545044196.968 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.968 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1545044196.968 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1545044196.968 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044196.968 * [misc]taylor: Taking taylor expansion of 2 in n 1545044196.968 * [misc]backup-simplify: Simplify 2 into 2 1545044196.968 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044196.968 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044196.968 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044196.968 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044196.968 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044196.968 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044196.968 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044196.968 * [misc]taylor: Taking taylor expansion of -1 in n 1545044196.968 * [misc]backup-simplify: Simplify -1 into -1 1545044196.968 * [misc]taylor: Taking taylor expansion of k in n 1545044196.968 * [misc]backup-simplify: Simplify k into k 1545044196.968 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044196.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044196.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044196.968 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044196.968 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044196.968 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044196.969 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044196.969 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545044196.970 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044196.970 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545044196.970 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545044196.971 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545044196.973 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1545044196.973 * * * [misc]progress: simplifying candidates 1545044196.973 * * * * [misc]progress: [ 1 / 101 ] simplifiying candidate # 1545044196.973 * * * * [misc]progress: [ 2 / 101 ] simplifiying candidate # 1545044196.973 * * * * [misc]progress: [ 3 / 101 ] simplifiying candidate # 1545044196.973 * * * * [misc]progress: [ 4 / 101 ] simplifiying candidate # 1545044196.973 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545044196.973 * * [misc]simplify: iters left: 2 (5 enodes) 1545044196.974 * * [misc]simplify: iters left: 1 (7 enodes) 1545044196.975 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545044196.975 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (sqrt k))) 1545044196.975 * * * * [misc]progress: [ 5 / 101 ] simplifiying candidate # 1545044196.976 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545044196.976 * * [misc]simplify: iters left: 2 (5 enodes) 1545044196.976 * * [misc]simplify: iters left: 1 (7 enodes) 1545044196.978 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545044196.978 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (sqrt k))) 1545044196.978 * * * * [misc]progress: [ 6 / 101 ] simplifiying candidate # 1545044196.979 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545044196.979 * * [misc]simplify: iters left: 1 (4 enodes) 1545044196.979 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545044196.979 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow (pow n 1) (fma -1/2 k 1/2))) (sqrt k))) 1545044196.979 * * * * [misc]progress: [ 7 / 101 ] simplifiying candidate # 1545044196.980 * [enter]simplify: Simplifying (pow n 1/2) 1545044196.980 * * [misc]simplify: iters left: 1 (3 enodes) 1545044196.980 * [exit]simplify: Simplified to (sqrt n) 1545044196.980 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (pow n (* -1/2 k)) (sqrt n))) (sqrt k))) 1545044196.980 * * * * [misc]progress: [ 8 / 101 ] simplifiying candidate # 1545044196.980 * * * * [misc]progress: [ 9 / 101 ] simplifiying candidate # 1545044196.980 * * * * [misc]progress: [ 10 / 101 ] simplifiying candidate # 1545044196.980 * * * * [misc]progress: [ 11 / 101 ] simplifiying candidate # 1545044196.980 * * * * [misc]progress: [ 12 / 101 ] simplifiying candidate # 1545044196.980 * * * * [misc]progress: [ 13 / 101 ] simplifiying candidate # 1545044196.980 * * * * [misc]progress: [ 14 / 101 ] simplifiying candidate # 1545044196.980 * * * * [misc]progress: [ 15 / 101 ] simplifiying candidate # 1545044196.980 * * * * [misc]progress: [ 16 / 101 ] simplifiying candidate # 1545044196.981 * * * * [misc]progress: [ 17 / 101 ] simplifiying candidate # 1545044196.981 * * * * [misc]progress: [ 18 / 101 ] simplifiying candidate # 1545044196.981 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545044196.981 * * [misc]simplify: iters left: 2 (5 enodes) 1545044196.982 * * [misc]simplify: iters left: 1 (7 enodes) 1545044196.983 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545044196.983 * [misc]simplify: Simplified (2 1 1 2 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow (pow PI (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044196.983 * * * * [misc]progress: [ 19 / 101 ] simplifiying candidate # 1545044196.983 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545044196.983 * * [misc]simplify: iters left: 2 (5 enodes) 1545044196.984 * * [misc]simplify: iters left: 1 (7 enodes) 1545044196.985 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545044196.985 * [misc]simplify: Simplified (2 1 1 2 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow (pow PI (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044196.985 * * * * [misc]progress: [ 20 / 101 ] simplifiying candidate # 1545044196.985 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545044196.985 * * [misc]simplify: iters left: 1 (4 enodes) 1545044196.986 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545044196.986 * [misc]simplify: Simplified (2 1 1 2 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow (pow PI 1) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044196.986 * * * * [misc]progress: [ 21 / 101 ] simplifiying candidate # 1545044196.986 * [enter]simplify: Simplifying (pow PI 1/2) 1545044196.986 * * [misc]simplify: iters left: 1 (3 enodes) 1545044196.986 * [exit]simplify: Simplified to (sqrt PI) 1545044196.986 * [misc]simplify: Simplified (2 1 1 2 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (* -1/2 k)) (sqrt PI))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044196.987 * * * * [misc]progress: [ 22 / 101 ] simplifiying candidate # 1545044196.987 * * * * [misc]progress: [ 23 / 101 ] simplifiying candidate # 1545044196.987 * * * * [misc]progress: [ 24 / 101 ] simplifiying candidate # 1545044196.987 * * * * [misc]progress: [ 25 / 101 ] simplifiying candidate # 1545044196.987 * * * * [misc]progress: [ 26 / 101 ] simplifiying candidate # 1545044196.987 * * * * [misc]progress: [ 27 / 101 ] simplifiying candidate # 1545044196.987 * * * * [misc]progress: [ 28 / 101 ] simplifiying candidate # 1545044196.987 * * * * [misc]progress: [ 29 / 101 ] simplifiying candidate # 1545044196.987 * * * * [misc]progress: [ 30 / 101 ] simplifiying candidate # 1545044196.987 * * * * [misc]progress: [ 31 / 101 ] simplifiying candidate # 1545044196.988 * [enter]simplify: Simplifying (* (* 2 PI) n) 1545044196.988 * * [misc]simplify: iters left: 4 (5 enodes) 1545044196.989 * * [misc]simplify: iters left: 3 (9 enodes) 1545044196.992 * * [misc]simplify: iters left: 2 (15 enodes) 1545044196.996 * * [misc]simplify: iters left: 1 (17 enodes) 1545044197.000 * [exit]simplify: Simplified to (* (* 2 PI) n) 1545044197.000 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma -1/2 k 1/2)) (sqrt k))) 1545044197.001 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545044197.001 * * [misc]simplify: iters left: 1 (4 enodes) 1545044197.002 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545044197.002 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma -1/2 k 1/2)) (sqrt k))) 1545044197.002 * * * * [misc]progress: [ 32 / 101 ] simplifiying candidate # 1545044197.002 * * * * [misc]progress: [ 33 / 101 ] simplifiying candidate # 1545044197.003 * [enter]simplify: Simplifying (+ (+ (* (log 2) (fma -1/2 k 1/2)) (* (log PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) 1545044197.003 * * [misc]simplify: iters left: 6 (15 enodes) 1545044197.009 * * [misc]simplify: iters left: 5 (27 enodes) 1545044197.019 * * [misc]simplify: iters left: 4 (72 enodes) 1545044197.054 * * [misc]simplify: iters left: 3 (199 enodes) 1545044197.138 * [exit]simplify: Simplified to (fma (+ (log 2) (log PI)) (fma -1/2 k 1/2) (* (log n) (fma -1/2 k 1/2))) 1545044197.138 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log 2) (log PI)) (fma -1/2 k 1/2) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1545044197.138 * * * * [misc]progress: [ 34 / 101 ] simplifiying candidate # 1545044197.139 * [enter]simplify: Simplifying (+ (+ (* (log 2) (fma -1/2 k 1/2)) (* (log PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) 1545044197.139 * * [misc]simplify: iters left: 6 (15 enodes) 1545044197.144 * * [misc]simplify: iters left: 5 (28 enodes) 1545044197.153 * * [misc]simplify: iters left: 4 (67 enodes) 1545044197.169 * * [misc]simplify: iters left: 3 (171 enodes) 1545044197.244 * * [misc]simplify: iters left: 2 (486 enodes) 1545044197.567 * [exit]simplify: Simplified to (fma (+ (log PI) (log n)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log 2))) 1545044197.567 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log n)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log 2)))) (sqrt k))) 1545044197.567 * * * * [misc]progress: [ 35 / 101 ] simplifiying candidate # 1545044197.567 * [enter]simplify: Simplifying (+ (+ (* (log 2) (fma -1/2 k 1/2)) (log (pow PI (fma -1/2 k 1/2)))) (* (log n) (fma -1/2 k 1/2))) 1545044197.568 * * [misc]simplify: iters left: 6 (15 enodes) 1545044197.573 * * [misc]simplify: iters left: 5 (26 enodes) 1545044197.582 * * [misc]simplify: iters left: 4 (60 enodes) 1545044197.608 * * [misc]simplify: iters left: 3 (163 enodes) 1545044197.695 * * [misc]simplify: iters left: 2 (425 enodes) 1545044197.980 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log PI) (log 2)) (* (log n) (fma -1/2 k 1/2))) 1545044197.980 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (+ (log PI) (log 2)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1545044197.980 * * * * [misc]progress: [ 36 / 101 ] simplifiying candidate # 1545044197.980 * [enter]simplify: Simplifying (+ (+ (* (log 2) (fma -1/2 k 1/2)) (log (pow PI (fma -1/2 k 1/2)))) (log (pow n (fma -1/2 k 1/2)))) 1545044197.980 * * [misc]simplify: iters left: 6 (15 enodes) 1545044197.986 * * [misc]simplify: iters left: 5 (27 enodes) 1545044197.995 * * [misc]simplify: iters left: 4 (55 enodes) 1545044198.012 * * [misc]simplify: iters left: 3 (135 enodes) 1545044198.057 * * [misc]simplify: iters left: 2 (372 enodes) 1545044198.375 * [exit]simplify: Simplified to (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n))) 1545044198.375 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1545044198.376 * * * * [misc]progress: [ 37 / 101 ] simplifiying candidate # 1545044198.376 * [enter]simplify: Simplifying (+ (+ (log (pow 2 (fma -1/2 k 1/2))) (* (log PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) 1545044198.376 * * [misc]simplify: iters left: 6 (15 enodes) 1545044198.382 * * [misc]simplify: iters left: 5 (25 enodes) 1545044198.391 * * [misc]simplify: iters left: 4 (60 enodes) 1545044198.416 * * [misc]simplify: iters left: 3 (167 enodes) 1545044198.503 * * [misc]simplify: iters left: 2 (439 enodes) 1545044198.737 * [exit]simplify: Simplified to (fma (+ (log 2) (log PI)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log n))) 1545044198.737 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log 2) (log PI)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log n)))) (sqrt k))) 1545044198.737 * * * * [misc]progress: [ 38 / 101 ] simplifiying candidate # 1545044198.737 * [enter]simplify: Simplifying (+ (+ (log (pow 2 (fma -1/2 k 1/2))) (* (log PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) 1545044198.737 * * [misc]simplify: iters left: 6 (15 enodes) 1545044198.744 * * [misc]simplify: iters left: 5 (26 enodes) 1545044198.749 * * [misc]simplify: iters left: 4 (55 enodes) 1545044198.763 * * [misc]simplify: iters left: 3 (139 enodes) 1545044198.829 * * [misc]simplify: iters left: 2 (389 enodes) 1545044199.073 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (* (fma k -1/2 1/2) (log PI))) 1545044199.073 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (* (fma k -1/2 1/2) (log PI)))) (sqrt k))) 1545044199.073 * * * * [misc]progress: [ 39 / 101 ] simplifiying candidate # 1545044199.074 * [enter]simplify: Simplifying (+ (+ (log (pow 2 (fma -1/2 k 1/2))) (log (pow PI (fma -1/2 k 1/2)))) (* (log n) (fma -1/2 k 1/2))) 1545044199.074 * * [misc]simplify: iters left: 6 (15 enodes) 1545044199.078 * * [misc]simplify: iters left: 5 (26 enodes) 1545044199.087 * * [misc]simplify: iters left: 4 (54 enodes) 1545044199.102 * * [misc]simplify: iters left: 3 (139 enodes) 1545044199.160 * * [misc]simplify: iters left: 2 (383 enodes) 1545044199.384 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log n) (log 2)) (* (fma k -1/2 1/2) (log PI))) 1545044199.384 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma k -1/2 1/2) (+ (log n) (log 2)) (* (fma k -1/2 1/2) (log PI)))) (sqrt k))) 1545044199.384 * * * * [misc]progress: [ 40 / 101 ] simplifiying candidate # 1545044199.384 * [enter]simplify: Simplifying (+ (+ (log (pow 2 (fma -1/2 k 1/2))) (log (pow PI (fma -1/2 k 1/2)))) (log (pow n (fma -1/2 k 1/2)))) 1545044199.384 * * [misc]simplify: iters left: 6 (15 enodes) 1545044199.387 * * [misc]simplify: iters left: 5 (27 enodes) 1545044199.392 * * [misc]simplify: iters left: 4 (49 enodes) 1545044199.405 * * [misc]simplify: iters left: 3 (111 enodes) 1545044199.464 * * [misc]simplify: iters left: 2 (307 enodes) 1545044199.638 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (* (fma k -1/2 1/2) (log PI))) 1545044199.638 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (* (fma k -1/2 1/2) (log PI)))) (sqrt k))) 1545044199.638 * * * * [misc]progress: [ 41 / 101 ] simplifiying candidate # 1545044199.639 * [enter]simplify: Simplifying (+ (log (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (log n) (fma -1/2 k 1/2))) 1545044199.639 * * [misc]simplify: iters left: 6 (14 enodes) 1545044199.643 * * [misc]simplify: iters left: 5 (22 enodes) 1545044199.649 * * [misc]simplify: iters left: 4 (41 enodes) 1545044199.657 * * [misc]simplify: iters left: 3 (86 enodes) 1545044199.676 * * [misc]simplify: iters left: 2 (194 enodes) 1545044199.782 * * [misc]simplify: iters left: 1 (485 enodes) 1545044200.081 * [exit]simplify: Simplified to (fma (+ (log PI) (log 2)) (fma k -1/2 1/2) (* (log n) (fma k -1/2 1/2))) 1545044200.081 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log 2)) (fma k -1/2 1/2) (* (log n) (fma k -1/2 1/2)))) (sqrt k))) 1545044200.081 * * * * [misc]progress: [ 42 / 101 ] simplifiying candidate # 1545044200.081 * [enter]simplify: Simplifying (+ (log (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (log (pow n (fma -1/2 k 1/2)))) 1545044200.082 * * [misc]simplify: iters left: 6 (14 enodes) 1545044200.084 * * [misc]simplify: iters left: 5 (23 enodes) 1545044200.088 * * [misc]simplify: iters left: 4 (36 enodes) 1545044200.098 * * [misc]simplify: iters left: 3 (66 enodes) 1545044200.119 * * [misc]simplify: iters left: 2 (179 enodes) 1545044200.206 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log PI) (log 2)) (* (fma k -1/2 1/2) (log n))) 1545044200.206 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma k -1/2 1/2) (+ (log PI) (log 2)) (* (fma k -1/2 1/2) (log n)))) (sqrt k))) 1545044200.206 * * * * [misc]progress: [ 43 / 101 ] simplifiying candidate # 1545044200.206 * * * * [misc]progress: [ 44 / 101 ] simplifiying candidate # 1545044200.206 * * * * [misc]progress: [ 45 / 101 ] simplifiying candidate # 1545044200.207 * [enter]simplify: Simplifying (* (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1545044200.207 * * [misc]simplify: iters left: 6 (18 enodes) 1545044200.210 * * [misc]simplify: iters left: 5 (33 enodes) 1545044200.217 * * [misc]simplify: iters left: 4 (100 enodes) 1545044200.250 * * [misc]simplify: iters left: 3 (303 enodes) 1545044200.474 * [exit]simplify: Simplified to (* (* (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))) (* (pow (pow PI (fma k -1/2 1/2)) 3) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))))) 1545044200.474 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))) (* (pow (pow PI (fma k -1/2 1/2)) 3) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))))) (sqrt k))) 1545044200.474 * * * * [misc]progress: [ 46 / 101 ] simplifiying candidate # 1545044200.474 * [enter]simplify: Simplifying (* (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1545044200.474 * * [misc]simplify: iters left: 6 (16 enodes) 1545044200.477 * * [misc]simplify: iters left: 5 (32 enodes) 1545044200.484 * * [misc]simplify: iters left: 4 (86 enodes) 1545044200.504 * * [misc]simplify: iters left: 3 (246 enodes) 1545044200.688 * [exit]simplify: Simplified to (* (* (pow (pow n (fma k -1/2 1/2)) 3) (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))) (* (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))))) 1545044200.688 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (pow (pow n (fma k -1/2 1/2)) 3) (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))) (* (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))))) (sqrt k))) 1545044200.688 * * * * [misc]progress: [ 47 / 101 ] simplifiying candidate # 1545044200.688 * * * * [misc]progress: [ 48 / 101 ] simplifiying candidate # 1545044200.688 * * * * [misc]progress: [ 49 / 101 ] simplifiying candidate # 1545044200.688 * * * * [misc]progress: [ 50 / 101 ] simplifiying candidate # 1545044200.689 * * * * [misc]progress: [ 51 / 101 ] simplifiying candidate # 1545044200.689 * [enter]simplify: Simplifying (pow n 1/2) 1545044200.689 * * [misc]simplify: iters left: 1 (3 enodes) 1545044200.690 * [exit]simplify: Simplified to (sqrt n) 1545044200.690 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (* -1/2 k))) (sqrt n)) (sqrt k))) 1545044200.690 * * * * [misc]progress: [ 52 / 101 ] simplifiying candidate # 1545044200.690 * [enter]simplify: Simplifying (cbrt (pow n (fma -1/2 k 1/2))) 1545044200.690 * * [misc]simplify: iters left: 3 (7 enodes) 1545044200.692 * * [misc]simplify: iters left: 2 (9 enodes) 1545044200.695 * * [misc]simplify: iters left: 1 (11 enodes) 1545044200.698 * [exit]simplify: Simplified to (cbrt (pow n (fma k -1/2 1/2))) 1545044200.698 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (cbrt (pow n (fma k -1/2 1/2)))) (sqrt k))) 1545044200.698 * * * * [misc]progress: [ 53 / 101 ] simplifiying candidate # 1545044200.698 * [enter]simplify: Simplifying (sqrt (pow n (fma -1/2 k 1/2))) 1545044200.698 * * [misc]simplify: iters left: 3 (7 enodes) 1545044200.700 * * [misc]simplify: iters left: 2 (9 enodes) 1545044200.703 * * [misc]simplify: iters left: 1 (11 enodes) 1545044200.706 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1545044200.706 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (sqrt (pow n (fma -1/2 k 1/2)))) (sqrt (pow n (fma k -1/2 1/2)))) (sqrt k))) 1545044200.706 * * * * [misc]progress: [ 54 / 101 ] simplifiying candidate # 1545044200.706 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1545044200.706 * * [misc]simplify: iters left: 2 (6 enodes) 1545044200.708 * * [misc]simplify: iters left: 1 (8 enodes) 1545044200.710 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545044200.710 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044200.710 * * * * [misc]progress: [ 55 / 101 ] simplifiying candidate # 1545044200.710 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1545044200.710 * * [misc]simplify: iters left: 2 (6 enodes) 1545044200.711 * * [misc]simplify: iters left: 1 (8 enodes) 1545044200.713 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1545044200.713 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545044200.713 * * * * [misc]progress: [ 56 / 101 ] simplifiying candidate # 1545044200.713 * * * * [misc]progress: [ 57 / 101 ] simplifiying candidate # 1545044200.713 * * * * [misc]progress: [ 58 / 101 ] simplifiying candidate # 1545044200.714 * * * * [misc]progress: [ 59 / 101 ] simplifiying candidate # 1545044200.714 * * * * [misc]progress: [ 60 / 101 ] simplifiying candidate # 1545044200.714 * [enter]simplify: Simplifying (- (+ (+ (* (log 2) (fma -1/2 k 1/2)) (* (log PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545044200.714 * * [misc]simplify: iters left: 6 (18 enodes) 1545044200.720 * * [misc]simplify: iters left: 5 (34 enodes) 1545044200.735 * * [misc]simplify: iters left: 4 (98 enodes) 1545044200.791 * * [misc]simplify: iters left: 3 (308 enodes) 1545044200.961 * [exit]simplify: Simplified to (fma (+ (+ (log 2) (log PI)) (log n)) (fma -1/2 k 1/2) (- (log (sqrt k)))) 1545044200.961 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (+ (log 2) (log PI)) (log n)) (fma -1/2 k 1/2) (- (log (sqrt k)))))) 1545044200.961 * * * * [misc]progress: [ 61 / 101 ] simplifiying candidate # 1545044200.961 * [enter]simplify: Simplifying (- (+ (+ (* (log 2) (fma -1/2 k 1/2)) (* (log PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545044200.961 * * [misc]simplify: iters left: 6 (18 enodes) 1545044200.965 * * [misc]simplify: iters left: 5 (35 enodes) 1545044200.972 * * [misc]simplify: iters left: 4 (92 enodes) 1545044201.000 * * [misc]simplify: iters left: 3 (267 enodes) 1545044201.161 * [exit]simplify: Simplified to (fma (+ (log n) (+ (log 2) (log PI))) (fma -1/2 k 1/2) (- (log (sqrt k)))) 1545044201.161 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log n) (+ (log 2) (log PI))) (fma -1/2 k 1/2) (- (log (sqrt k)))))) 1545044201.161 * * * * [misc]progress: [ 62 / 101 ] simplifiying candidate # 1545044201.161 * [enter]simplify: Simplifying (- (+ (+ (* (log 2) (fma -1/2 k 1/2)) (log (pow PI (fma -1/2 k 1/2)))) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545044201.162 * * [misc]simplify: iters left: 6 (18 enodes) 1545044201.168 * * [misc]simplify: iters left: 5 (33 enodes) 1545044201.179 * * [misc]simplify: iters left: 4 (85 enodes) 1545044201.214 * * [misc]simplify: iters left: 3 (261 enodes) 1545044201.390 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log n) (+ (log PI) (log 2))) (- (log (sqrt k)))) 1545044201.390 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log n) (+ (log PI) (log 2))) (- (log (sqrt k)))))) 1545044201.390 * * * * [misc]progress: [ 63 / 101 ] simplifiying candidate # 1545044201.390 * [enter]simplify: Simplifying (- (+ (+ (* (log 2) (fma -1/2 k 1/2)) (log (pow PI (fma -1/2 k 1/2)))) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545044201.390 * * [misc]simplify: iters left: 6 (18 enodes) 1545044201.397 * * [misc]simplify: iters left: 5 (34 enodes) 1545044201.404 * * [misc]simplify: iters left: 4 (79 enodes) 1545044201.429 * * [misc]simplify: iters left: 3 (221 enodes) 1545044201.614 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log 2) (+ (log PI) (log n))) (- (log (sqrt k)))) 1545044201.614 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log 2) (+ (log PI) (log n))) (- (log (sqrt k)))))) 1545044201.614 * * * * [misc]progress: [ 64 / 101 ] simplifiying candidate # 1545044201.614 * [enter]simplify: Simplifying (- (+ (+ (log (pow 2 (fma -1/2 k 1/2))) (* (log PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545044201.614 * * [misc]simplify: iters left: 6 (18 enodes) 1545044201.621 * * [misc]simplify: iters left: 5 (32 enodes) 1545044201.634 * * [misc]simplify: iters left: 4 (85 enodes) 1545044201.689 * * [misc]simplify: iters left: 3 (265 enodes) 1545044201.850 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))) 1545044201.850 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))))) 1545044201.850 * * * * [misc]progress: [ 65 / 101 ] simplifiying candidate # 1545044201.851 * [enter]simplify: Simplifying (- (+ (+ (log (pow 2 (fma -1/2 k 1/2))) (* (log PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545044201.851 * * [misc]simplify: iters left: 6 (18 enodes) 1545044201.854 * * [misc]simplify: iters left: 5 (33 enodes) 1545044201.861 * * [misc]simplify: iters left: 4 (79 enodes) 1545044201.899 * * [misc]simplify: iters left: 3 (225 enodes) 1545044202.021 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))) 1545044202.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))))) 1545044202.021 * * * * [misc]progress: [ 66 / 101 ] simplifiying candidate # 1545044202.021 * [enter]simplify: Simplifying (- (+ (+ (log (pow 2 (fma -1/2 k 1/2))) (log (pow PI (fma -1/2 k 1/2)))) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545044202.022 * * [misc]simplify: iters left: 6 (18 enodes) 1545044202.025 * * [misc]simplify: iters left: 5 (33 enodes) 1545044202.032 * * [misc]simplify: iters left: 4 (79 enodes) 1545044202.055 * * [misc]simplify: iters left: 3 (229 enodes) 1545044202.232 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log n) (+ (log 2) (log PI))) (- (log (sqrt k)))) 1545044202.232 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (+ (log n) (+ (log 2) (log PI))) (- (log (sqrt k)))))) 1545044202.232 * * * * [misc]progress: [ 67 / 101 ] simplifiying candidate # 1545044202.232 * [enter]simplify: Simplifying (- (+ (+ (log (pow 2 (fma -1/2 k 1/2))) (log (pow PI (fma -1/2 k 1/2)))) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545044202.232 * * [misc]simplify: iters left: 6 (18 enodes) 1545044202.236 * * [misc]simplify: iters left: 5 (34 enodes) 1545044202.242 * * [misc]simplify: iters left: 4 (73 enodes) 1545044202.280 * * [misc]simplify: iters left: 3 (189 enodes) 1545044202.401 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log n) (log 2)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))) 1545044202.401 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (+ (log n) (log 2)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))))) 1545044202.401 * * * * [misc]progress: [ 68 / 101 ] simplifiying candidate # 1545044202.401 * [enter]simplify: Simplifying (- (+ (log (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545044202.401 * * [misc]simplify: iters left: 6 (17 enodes) 1545044202.404 * * [misc]simplify: iters left: 5 (29 enodes) 1545044202.409 * * [misc]simplify: iters left: 4 (60 enodes) 1545044202.433 * * [misc]simplify: iters left: 3 (157 enodes) 1545044202.518 * * [misc]simplify: iters left: 2 (373 enodes) 1545044202.750 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (+ (log PI) (log 2)) (log n)) (- (log (sqrt k)))) 1545044202.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (+ (+ (log PI) (log 2)) (log n)) (- (log (sqrt k)))))) 1545044202.750 * * * * [misc]progress: [ 69 / 101 ] simplifiying candidate # 1545044202.750 * [enter]simplify: Simplifying (- (+ (log (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545044202.750 * * [misc]simplify: iters left: 6 (17 enodes) 1545044202.753 * * [misc]simplify: iters left: 5 (30 enodes) 1545044202.758 * * [misc]simplify: iters left: 4 (54 enodes) 1545044202.770 * * [misc]simplify: iters left: 3 (121 enodes) 1545044202.822 * * [misc]simplify: iters left: 2 (334 enodes) 1545044203.089 * [exit]simplify: Simplified to (fma (+ (log n) (log 2)) (fma k -1/2 1/2) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))) 1545044203.089 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log n) (log 2)) (fma k -1/2 1/2) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))))) 1545044203.089 * * * * [misc]progress: [ 70 / 101 ] simplifiying candidate # 1545044203.089 * [enter]simplify: Simplifying (- (log (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545044203.090 * * [misc]simplify: iters left: 6 (16 enodes) 1545044203.093 * * [misc]simplify: iters left: 5 (27 enodes) 1545044203.097 * * [misc]simplify: iters left: 4 (47 enodes) 1545044203.105 * * [misc]simplify: iters left: 3 (83 enodes) 1545044203.123 * * [misc]simplify: iters left: 2 (158 enodes) 1545044203.214 * * [misc]simplify: iters left: 1 (379 enodes) 1545044203.497 * [exit]simplify: Simplified to (fma (+ (log 2) (log n)) (fma k -1/2 1/2) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))) 1545044203.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log 2) (log n)) (fma k -1/2 1/2) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))))) 1545044203.497 * * * * [misc]progress: [ 71 / 101 ] simplifiying candidate # 1545044203.497 * * * * [misc]progress: [ 72 / 101 ] simplifiying candidate # 1545044203.497 * * * * [misc]progress: [ 73 / 101 ] simplifiying candidate # 1545044203.498 * [enter]simplify: Simplifying (/ (* (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545044203.498 * * [misc]simplify: iters left: 6 (22 enodes) 1545044203.506 * * [misc]simplify: iters left: 5 (45 enodes) 1545044203.525 * * [misc]simplify: iters left: 4 (175 enodes) 1545044203.629 * [exit]simplify: Simplified to (/ (* (pow (pow PI (fma k -1/2 1/2)) 3) (pow (pow 2 (fma k -1/2 1/2)) 3)) (/ (/ (* (sqrt k) k) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))))) 1545044203.629 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (pow PI (fma k -1/2 1/2)) 3) (pow (pow 2 (fma k -1/2 1/2)) 3)) (/ (/ (* (sqrt k) k) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))))))) 1545044203.629 * * * * [misc]progress: [ 74 / 101 ] simplifiying candidate # 1545044203.629 * [enter]simplify: Simplifying (/ (* (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545044203.629 * * [misc]simplify: iters left: 6 (20 enodes) 1545044203.635 * * [misc]simplify: iters left: 5 (44 enodes) 1545044203.656 * * [misc]simplify: iters left: 4 (157 enodes) 1545044203.762 * [exit]simplify: Simplified to (/ (pow (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) 3) (/ (/ (* k (sqrt k)) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))))) 1545044203.762 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (pow (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) 3) (/ (/ (* k (sqrt k)) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))))))) 1545044203.762 * * * * [misc]progress: [ 75 / 101 ] simplifiying candidate # 1545044203.762 * [enter]simplify: Simplifying (/ (* (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545044203.762 * * [misc]simplify: iters left: 6 (18 enodes) 1545044203.766 * * [misc]simplify: iters left: 5 (39 enodes) 1545044203.774 * * [misc]simplify: iters left: 4 (135 enodes) 1545044203.858 * [exit]simplify: Simplified to (/ (* (/ (* (pow 2 (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (/ k (pow PI (fma k -1/2 1/2)))) (* (pow PI (fma k -1/2 1/2)) (* (pow 2 (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))))) (/ (sqrt k) (* (pow PI (fma k -1/2 1/2)) (* (pow 2 (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2)))))) 1545044203.858 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (* (pow 2 (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (/ k (pow PI (fma k -1/2 1/2)))) (* (pow PI (fma k -1/2 1/2)) (* (pow 2 (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))))) (/ (sqrt k) (* (pow PI (fma k -1/2 1/2)) (* (pow 2 (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2)))))))) 1545044203.858 * * * * [misc]progress: [ 76 / 101 ] simplifiying candidate # 1545044203.858 * * * * [misc]progress: [ 77 / 101 ] simplifiying candidate # 1545044203.858 * * * * [misc]progress: [ 78 / 101 ] simplifiying candidate # 1545044203.858 * * * * [misc]progress: [ 79 / 101 ] simplifiying candidate # 1545044203.858 * * * * [misc]progress: [ 80 / 101 ] simplifiying candidate # 1545044203.859 * [enter]simplify: Simplifying (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545044203.859 * * [misc]simplify: iters left: 6 (13 enodes) 1545044203.863 * * [misc]simplify: iters left: 5 (23 enodes) 1545044203.870 * * [misc]simplify: iters left: 4 (37 enodes) 1545044203.876 * * [misc]simplify: iters left: 3 (47 enodes) 1545044203.882 * * [misc]simplify: iters left: 2 (55 enodes) 1545044203.890 * * [misc]simplify: iters left: 1 (58 enodes) 1545044203.897 * [exit]simplify: Simplified to (/ (/ (pow 2 (fma k -1/2 1/2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow PI (fma k -1/2 1/2)))) 1545044203.897 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (fma k -1/2 1/2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow PI (fma k -1/2 1/2)))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1545044203.897 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1545044203.897 * * [misc]simplify: iters left: 4 (9 enodes) 1545044203.898 * * [misc]simplify: iters left: 3 (11 enodes) 1545044203.900 * * [misc]simplify: iters left: 2 (13 enodes) 1545044203.902 * * [misc]simplify: iters left: 1 (14 enodes) 1545044203.904 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1545044203.904 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1545044203.904 * * * * [misc]progress: [ 81 / 101 ] simplifiying candidate # 1545044203.904 * [enter]simplify: Simplifying (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1545044203.904 * * [misc]simplify: iters left: 6 (12 enodes) 1545044203.908 * * [misc]simplify: iters left: 5 (17 enodes) 1545044203.913 * * [misc]simplify: iters left: 4 (21 enodes) 1545044203.919 * * [misc]simplify: iters left: 3 (25 enodes) 1545044203.926 * * [misc]simplify: iters left: 2 (27 enodes) 1545044203.933 * * [misc]simplify: iters left: 1 (28 enodes) 1545044203.941 * [exit]simplify: Simplified to (/ (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (sqrt (sqrt k))) 1545044203.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1545044203.941 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1545044203.941 * * [misc]simplify: iters left: 4 (9 enodes) 1545044203.944 * * [misc]simplify: iters left: 3 (11 enodes) 1545044203.947 * * [misc]simplify: iters left: 2 (13 enodes) 1545044203.951 * * [misc]simplify: iters left: 1 (14 enodes) 1545044203.955 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1545044203.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (sqrt (sqrt k))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1545044203.955 * * * * [misc]progress: [ 82 / 101 ] simplifiying candidate # 1545044203.955 * [enter]simplify: Simplifying (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1) 1545044203.955 * * [misc]simplify: iters left: 6 (11 enodes) 1545044203.959 * * [misc]simplify: iters left: 5 (18 enodes) 1545044203.963 * * [misc]simplify: iters left: 4 (26 enodes) 1545044203.971 * * [misc]simplify: iters left: 3 (34 enodes) 1545044203.979 * * [misc]simplify: iters left: 2 (42 enodes) 1545044203.986 * * [misc]simplify: iters left: 1 (53 enodes) 1545044203.992 * [exit]simplify: Simplified to (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) 1545044203.993 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545044203.993 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1545044203.993 * * [misc]simplify: iters left: 4 (8 enodes) 1545044203.994 * * [misc]simplify: iters left: 3 (10 enodes) 1545044203.995 * * [misc]simplify: iters left: 2 (12 enodes) 1545044203.997 * * [misc]simplify: iters left: 1 (13 enodes) 1545044203.999 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1545044203.999 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1545044203.999 * * * * [misc]progress: [ 83 / 101 ] simplifiying candidate # 1545044203.999 * * * * [misc]progress: [ 84 / 101 ] simplifiying candidate # 1545044203.999 * * * * [misc]progress: [ 85 / 101 ] simplifiying candidate # 1545044203.999 * * * * [misc]progress: [ 86 / 101 ] simplifiying candidate # 1545044203.999 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545044203.999 * * [misc]simplify: iters left: 2 (3 enodes) 1545044204.000 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545044204.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1545044204.000 * * * * [misc]progress: [ 87 / 101 ] simplifiying candidate # 1545044204.000 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545044204.000 * * [misc]simplify: iters left: 2 (3 enodes) 1545044204.001 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545044204.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545044204.001 * * * * [misc]progress: [ 88 / 101 ] simplifiying candidate # 1545044204.001 * [enter]simplify: Simplifying (sqrt k) 1545044204.001 * * [misc]simplify: iters left: 1 (2 enodes) 1545044204.001 * [exit]simplify: Simplified to (sqrt k) 1545044204.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) 1) (sqrt k))) 1545044204.001 * * * * [misc]progress: [ 89 / 101 ] simplifiying candidate # 1545044204.002 * [enter]simplify: Simplifying (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1545044204.002 * * [misc]simplify: iters left: 4 (9 enodes) 1545044204.003 * * [misc]simplify: iters left: 3 (12 enodes) 1545044204.005 * * [misc]simplify: iters left: 2 (14 enodes) 1545044204.007 * * [misc]simplify: iters left: 1 (15 enodes) 1545044204.009 * [exit]simplify: Simplified to (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) 1545044204.009 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044204.009 * * * * [misc]progress: [ 90 / 101 ] simplifiying candidate # 1545044204.009 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545044204.009 * * [misc]simplify: iters left: 6 (18 enodes) 1545044204.012 * * [misc]simplify: iters left: 5 (39 enodes) 1545044204.021 * * [misc]simplify: iters left: 4 (119 enodes) 1545044204.078 * * [misc]simplify: iters left: 3 (334 enodes) 1545044204.266 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1545044204.266 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n)))) (sqrt k))) 1545044204.266 * * * * [misc]progress: [ 91 / 101 ] simplifiying candidate # 1545044204.266 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545044204.266 * * [misc]simplify: iters left: 6 (12 enodes) 1545044204.272 * * [misc]simplify: iters left: 5 (28 enodes) 1545044204.283 * * [misc]simplify: iters left: 4 (67 enodes) 1545044204.314 * * [misc]simplify: iters left: 3 (180 enodes) 1545044204.475 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545044204.475 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044204.475 * * * * [misc]progress: [ 92 / 101 ] simplifiying candidate # 1545044204.475 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545044204.476 * * [misc]simplify: iters left: 6 (12 enodes) 1545044204.478 * * [misc]simplify: iters left: 5 (22 enodes) 1545044204.482 * * [misc]simplify: iters left: 4 (52 enodes) 1545044204.495 * * [misc]simplify: iters left: 3 (149 enodes) 1545044204.589 * * [misc]simplify: iters left: 2 (453 enodes) 1545044205.432 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1545044205.432 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma k -1/2 1/2))) (sqrt k))) 1545044205.433 * * * * [misc]progress: [ 93 / 101 ] simplifiying candidate # 1545044205.433 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545044205.433 * * [misc]simplify: iters left: 6 (18 enodes) 1545044205.436 * * [misc]simplify: iters left: 5 (39 enodes) 1545044205.444 * * [misc]simplify: iters left: 4 (110 enodes) 1545044205.490 * * [misc]simplify: iters left: 3 (321 enodes) 1545044205.682 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1545044205.682 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI)))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044205.682 * * * * [misc]progress: [ 94 / 101 ] simplifiying candidate # 1545044205.683 * [enter]simplify: Simplifying (pow PI (fma -1/2 k 1/2)) 1545044205.683 * * [misc]simplify: iters left: 2 (6 enodes) 1545044205.685 * * [misc]simplify: iters left: 1 (8 enodes) 1545044205.687 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1545044205.687 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044205.687 * * * * [misc]progress: [ 95 / 101 ] simplifiying candidate # 1545044205.688 * [enter]simplify: Simplifying (exp (* (log PI) (fma -1/2 k 1/2))) 1545044205.688 * * [misc]simplify: iters left: 4 (8 enodes) 1545044205.690 * * [misc]simplify: iters left: 3 (14 enodes) 1545044205.694 * * [misc]simplify: iters left: 2 (22 enodes) 1545044205.701 * * [misc]simplify: iters left: 1 (41 enodes) 1545044205.718 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1545044205.718 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545044205.718 * * * * [misc]progress: [ 96 / 101 ] simplifiying candidate # 1545044205.718 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545044205.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1545044205.718 * * * * [misc]progress: [ 97 / 101 ] simplifiying candidate # 1545044205.718 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545044205.719 * * [misc]simplify: iters left: 6 (20 enodes) 1545044205.728 * * [misc]simplify: iters left: 5 (44 enodes) 1545044205.745 * * [misc]simplify: iters left: 4 (97 enodes) 1545044205.775 * * [misc]simplify: iters left: 3 (262 enodes) 1545044206.014 * [exit]simplify: Simplified to (* (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) 1545044206.014 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (sqrt k))) 1545044206.014 * * * * [misc]progress: [ 98 / 101 ] simplifiying candidate # 1545044206.015 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545044206.015 * * [misc]simplify: iters left: 6 (20 enodes) 1545044206.023 * * [misc]simplify: iters left: 5 (38 enodes) 1545044206.037 * * [misc]simplify: iters left: 4 (82 enodes) 1545044206.073 * * [misc]simplify: iters left: 3 (219 enodes) 1545044206.216 * [exit]simplify: Simplified to (* (exp (* (fma k -1/2 1/2) (log n))) (* (pow 2 (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))) 1545044206.217 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (exp (* (fma k -1/2 1/2) (log n))) (* (pow 2 (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))) (sqrt k))) 1545044206.217 * * * * [misc]progress: [ 99 / 101 ] simplifiying candidate # 1545044206.217 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545044206.217 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044206.217 * * * * [misc]progress: [ 100 / 101 ] simplifiying candidate # 1545044206.217 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1545044206.217 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044206.217 * * * * [misc]progress: [ 101 / 101 ] simplifiying candidate # 1545044206.217 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1545044206.217 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044206.217 * * * [misc]progress: adding candidates to table 1545044208.059 * * [misc]progress: iteration 4 / 4 1545044208.059 * * * [misc]progress: picking best candidate 1545044208.098 * * * * [misc]pick: Picked # 1545044208.098 * * * [misc]progress: localizing error 1545044208.104 * * * [misc]progress: generating rewritten candidates 1545044208.104 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1545044208.105 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) 1545044208.107 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1545044208.137 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1545044208.143 * * * [misc]progress: generating series expansions 1545044208.143 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1545044208.143 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1545044208.143 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1545044208.143 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044208.143 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044208.143 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044208.143 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.143 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.143 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.143 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.143 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.143 * [misc]taylor: Taking taylor expansion of k in k 1545044208.143 * [misc]backup-simplify: Simplify 0 into 0 1545044208.143 * [misc]backup-simplify: Simplify 1 into 1 1545044208.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.143 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044208.143 * [misc]taylor: Taking taylor expansion of n in k 1545044208.143 * [misc]backup-simplify: Simplify n into n 1545044208.143 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044208.144 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.144 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.144 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044208.144 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044208.144 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044208.144 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044208.144 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044208.144 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044208.144 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.144 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044208.144 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.144 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.144 * [misc]taylor: Taking taylor expansion of k in n 1545044208.144 * [misc]backup-simplify: Simplify k into k 1545044208.144 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.144 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044208.144 * [misc]taylor: Taking taylor expansion of n in n 1545044208.144 * [misc]backup-simplify: Simplify 0 into 0 1545044208.144 * [misc]backup-simplify: Simplify 1 into 1 1545044208.144 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.144 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044208.145 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044208.145 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.145 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044208.145 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044208.145 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044208.145 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044208.145 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044208.145 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044208.145 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.145 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044208.145 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.145 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.145 * [misc]taylor: Taking taylor expansion of k in n 1545044208.145 * [misc]backup-simplify: Simplify k into k 1545044208.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.145 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044208.145 * [misc]taylor: Taking taylor expansion of n in n 1545044208.145 * [misc]backup-simplify: Simplify 0 into 0 1545044208.145 * [misc]backup-simplify: Simplify 1 into 1 1545044208.146 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.146 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044208.146 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044208.146 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.146 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044208.146 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044208.146 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545044208.146 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545044208.146 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545044208.146 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545044208.146 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.146 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545044208.146 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.146 * [misc]taylor: Taking taylor expansion of k in k 1545044208.146 * [misc]backup-simplify: Simplify 0 into 0 1545044208.146 * [misc]backup-simplify: Simplify 1 into 1 1545044208.146 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044208.146 * [misc]taylor: Taking taylor expansion of n in k 1545044208.146 * [misc]backup-simplify: Simplify n into n 1545044208.146 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044208.147 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545044208.147 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.147 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.147 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044208.147 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044208.147 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1545044208.149 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044208.149 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1545044208.149 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.149 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.149 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545044208.150 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.150 * [misc]taylor: Taking taylor expansion of 0 in k 1545044208.150 * [misc]backup-simplify: Simplify 0 into 0 1545044208.150 * [misc]backup-simplify: Simplify 0 into 0 1545044208.151 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044208.151 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545044208.151 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044208.152 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044208.152 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545044208.152 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545044208.152 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1545044208.154 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545044208.155 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545044208.155 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.155 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.155 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545044208.156 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044208.156 * [misc]taylor: Taking taylor expansion of 0 in k 1545044208.156 * [misc]backup-simplify: Simplify 0 into 0 1545044208.156 * [misc]backup-simplify: Simplify 0 into 0 1545044208.156 * [misc]backup-simplify: Simplify 0 into 0 1545044208.157 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044208.158 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044208.158 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.158 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.158 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545044208.159 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044208.159 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044208.159 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545044208.159 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044208.159 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1545044208.159 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.159 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044208.159 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044208.159 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.159 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.160 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.160 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.160 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.160 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.160 * [misc]taylor: Taking taylor expansion of k in k 1545044208.160 * [misc]backup-simplify: Simplify 0 into 0 1545044208.160 * [misc]backup-simplify: Simplify 1 into 1 1545044208.160 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.160 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.160 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044208.160 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044208.160 * [misc]taylor: Taking taylor expansion of n in k 1545044208.160 * [misc]backup-simplify: Simplify n into n 1545044208.160 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044208.160 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044208.160 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.160 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.160 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044208.160 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044208.160 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.160 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044208.160 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044208.160 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.160 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.160 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.160 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.160 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.160 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.160 * [misc]taylor: Taking taylor expansion of k in n 1545044208.161 * [misc]backup-simplify: Simplify k into k 1545044208.161 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.161 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.161 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044208.161 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.161 * [misc]taylor: Taking taylor expansion of n in n 1545044208.161 * [misc]backup-simplify: Simplify 0 into 0 1545044208.161 * [misc]backup-simplify: Simplify 1 into 1 1545044208.161 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.161 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.161 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.161 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.161 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.161 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044208.161 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.161 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.161 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044208.161 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044208.161 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.161 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.162 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.162 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.162 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.162 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.162 * [misc]taylor: Taking taylor expansion of k in n 1545044208.162 * [misc]backup-simplify: Simplify k into k 1545044208.162 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.162 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.162 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044208.162 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.162 * [misc]taylor: Taking taylor expansion of n in n 1545044208.162 * [misc]backup-simplify: Simplify 0 into 0 1545044208.162 * [misc]backup-simplify: Simplify 1 into 1 1545044208.162 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.162 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.162 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.162 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.162 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.162 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044208.162 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.162 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545044208.163 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545044208.163 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.163 * [misc]backup-simplify: Simplify -1 into -1 1545044208.163 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545044208.163 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545044208.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044208.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.163 * [misc]taylor: Taking taylor expansion of k in k 1545044208.163 * [misc]backup-simplify: Simplify 0 into 0 1545044208.163 * [misc]backup-simplify: Simplify 1 into 1 1545044208.163 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.163 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044208.163 * [misc]taylor: Taking taylor expansion of n in k 1545044208.163 * [misc]backup-simplify: Simplify n into n 1545044208.163 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044208.163 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044208.163 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545044208.163 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545044208.163 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545044208.163 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545044208.163 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.164 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.164 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044208.165 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044208.165 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044208.165 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044208.166 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.166 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.166 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545044208.167 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.167 * [misc]taylor: Taking taylor expansion of 0 in k 1545044208.167 * [misc]backup-simplify: Simplify 0 into 0 1545044208.167 * [misc]backup-simplify: Simplify 0 into 0 1545044208.167 * [misc]backup-simplify: Simplify 0 into 0 1545044208.167 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044208.169 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545044208.169 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044208.170 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545044208.170 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.170 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.170 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545044208.171 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044208.171 * [misc]taylor: Taking taylor expansion of 0 in k 1545044208.171 * [misc]backup-simplify: Simplify 0 into 0 1545044208.172 * [misc]backup-simplify: Simplify 0 into 0 1545044208.172 * [misc]backup-simplify: Simplify 0 into 0 1545044208.172 * [misc]backup-simplify: Simplify 0 into 0 1545044208.172 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044208.178 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1545044208.179 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044208.179 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545044208.179 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.180 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.180 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545044208.183 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545044208.183 * [misc]taylor: Taking taylor expansion of 0 in k 1545044208.183 * [misc]backup-simplify: Simplify 0 into 0 1545044208.183 * [misc]backup-simplify: Simplify 0 into 0 1545044208.184 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545044208.184 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1545044208.184 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1545044208.184 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.184 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044208.184 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044208.184 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.184 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.184 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.184 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.184 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.184 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.184 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.184 * [misc]backup-simplify: Simplify -1 into -1 1545044208.184 * [misc]taylor: Taking taylor expansion of k in k 1545044208.184 * [misc]backup-simplify: Simplify 0 into 0 1545044208.184 * [misc]backup-simplify: Simplify 1 into 1 1545044208.185 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.185 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.185 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.185 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044208.185 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044208.185 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.185 * [misc]backup-simplify: Simplify -1 into -1 1545044208.185 * [misc]taylor: Taking taylor expansion of n in k 1545044208.185 * [misc]backup-simplify: Simplify n into n 1545044208.185 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044208.185 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044208.185 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.185 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.185 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044208.185 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044208.185 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.186 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044208.186 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044208.186 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.186 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.186 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.186 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.186 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.186 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.186 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.186 * [misc]backup-simplify: Simplify -1 into -1 1545044208.186 * [misc]taylor: Taking taylor expansion of k in n 1545044208.186 * [misc]backup-simplify: Simplify k into k 1545044208.186 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.186 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.186 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.186 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044208.186 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044208.186 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.186 * [misc]backup-simplify: Simplify -1 into -1 1545044208.186 * [misc]taylor: Taking taylor expansion of n in n 1545044208.186 * [misc]backup-simplify: Simplify 0 into 0 1545044208.186 * [misc]backup-simplify: Simplify 1 into 1 1545044208.186 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.186 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.187 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.187 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.187 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.187 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044208.188 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.188 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.188 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044208.188 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044208.188 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.188 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.188 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.188 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.188 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.188 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.188 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.188 * [misc]backup-simplify: Simplify -1 into -1 1545044208.188 * [misc]taylor: Taking taylor expansion of k in n 1545044208.188 * [misc]backup-simplify: Simplify k into k 1545044208.188 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.188 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.188 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044208.188 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044208.188 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.188 * [misc]backup-simplify: Simplify -1 into -1 1545044208.188 * [misc]taylor: Taking taylor expansion of n in n 1545044208.189 * [misc]backup-simplify: Simplify 0 into 0 1545044208.189 * [misc]backup-simplify: Simplify 1 into 1 1545044208.189 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.189 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.189 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.189 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.189 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.190 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044208.190 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.190 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545044208.190 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545044208.190 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545044208.190 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545044208.190 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.190 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.190 * [misc]taylor: Taking taylor expansion of k in k 1545044208.190 * [misc]backup-simplify: Simplify 0 into 0 1545044208.190 * [misc]backup-simplify: Simplify 1 into 1 1545044208.191 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.191 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545044208.191 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545044208.191 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.191 * [misc]backup-simplify: Simplify -1 into -1 1545044208.191 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.191 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044208.191 * [misc]taylor: Taking taylor expansion of n in k 1545044208.191 * [misc]backup-simplify: Simplify n into n 1545044208.191 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044208.191 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545044208.191 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.192 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545044208.192 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545044208.192 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545044208.192 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.193 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.193 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044208.196 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545044208.196 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044208.196 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044208.196 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.196 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.197 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545044208.198 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.198 * [misc]taylor: Taking taylor expansion of 0 in k 1545044208.198 * [misc]backup-simplify: Simplify 0 into 0 1545044208.198 * [misc]backup-simplify: Simplify 0 into 0 1545044208.198 * [misc]backup-simplify: Simplify 0 into 0 1545044208.199 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044208.203 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545044208.204 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044208.204 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545044208.204 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.205 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.205 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545044208.207 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545044208.207 * [misc]taylor: Taking taylor expansion of 0 in k 1545044208.207 * [misc]backup-simplify: Simplify 0 into 0 1545044208.207 * [misc]backup-simplify: Simplify 0 into 0 1545044208.207 * [misc]backup-simplify: Simplify 0 into 0 1545044208.207 * [misc]backup-simplify: Simplify 0 into 0 1545044208.208 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044208.215 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1545044208.215 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545044208.216 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1545044208.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.216 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.217 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1545044208.221 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545044208.221 * [misc]taylor: Taking taylor expansion of 0 in k 1545044208.221 * [misc]backup-simplify: Simplify 0 into 0 1545044208.221 * [misc]backup-simplify: Simplify 0 into 0 1545044208.221 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545044208.221 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) 1545044208.221 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 k 1/2)) into (pow PI (fma -1/2 k 1/2)) 1545044208.221 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in (k) around 0 1545044208.221 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545044208.221 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545044208.221 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545044208.221 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.222 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.222 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.222 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.222 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.222 * [misc]taylor: Taking taylor expansion of k in k 1545044208.222 * [misc]backup-simplify: Simplify 0 into 0 1545044208.222 * [misc]backup-simplify: Simplify 1 into 1 1545044208.222 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.222 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.222 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.222 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.222 * [misc]backup-simplify: Simplify PI into PI 1545044208.222 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.222 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.223 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.223 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044208.224 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545044208.224 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545044208.224 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545044208.224 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545044208.224 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.224 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.224 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.224 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.224 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.224 * [misc]taylor: Taking taylor expansion of k in k 1545044208.224 * [misc]backup-simplify: Simplify 0 into 0 1545044208.224 * [misc]backup-simplify: Simplify 1 into 1 1545044208.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.224 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.224 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.224 * [misc]backup-simplify: Simplify PI into PI 1545044208.225 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.225 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.225 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.226 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044208.226 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545044208.227 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545044208.229 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044208.230 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044208.230 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.231 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545044208.233 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545044208.234 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545044208.236 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545044208.236 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044208.236 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.237 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545044208.241 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545044208.242 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545044208.244 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545044208.244 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 k) 1/2)) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044208.244 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1545044208.244 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.244 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545044208.244 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545044208.244 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.244 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.244 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.244 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.244 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.244 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.244 * [misc]taylor: Taking taylor expansion of k in k 1545044208.244 * [misc]backup-simplify: Simplify 0 into 0 1545044208.244 * [misc]backup-simplify: Simplify 1 into 1 1545044208.244 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.244 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.244 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.244 * [misc]backup-simplify: Simplify PI into PI 1545044208.245 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.245 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.245 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.245 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545044208.245 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044208.245 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.245 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545044208.245 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545044208.245 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.245 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.245 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.246 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.246 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.246 * [misc]taylor: Taking taylor expansion of k in k 1545044208.246 * [misc]backup-simplify: Simplify 0 into 0 1545044208.246 * [misc]backup-simplify: Simplify 1 into 1 1545044208.246 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.246 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.246 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.246 * [misc]backup-simplify: Simplify PI into PI 1545044208.246 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.246 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.246 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.246 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545044208.247 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044208.247 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 k) 1/2)) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044208.247 * [misc]backup-simplify: Simplify 0 into 0 1545044208.247 * [misc]backup-simplify: Simplify 0 into 0 1545044208.247 * [misc]backup-simplify: Simplify 0 into 0 1545044208.247 * [misc]backup-simplify: Simplify 0 into 0 1545044208.247 * [misc]backup-simplify: Simplify 0 into 0 1545044208.247 * [misc]backup-simplify: Simplify 0 into 0 1545044208.247 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow PI (fma -1/2 k 1/2)) 1545044208.247 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) into (pow PI (fma -1/2 (/ -1 k) 1/2)) 1545044208.247 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1545044208.247 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.247 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545044208.247 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545044208.247 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.247 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.247 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.247 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.247 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.247 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.247 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.247 * [misc]backup-simplify: Simplify -1 into -1 1545044208.247 * [misc]taylor: Taking taylor expansion of k in k 1545044208.247 * [misc]backup-simplify: Simplify 0 into 0 1545044208.248 * [misc]backup-simplify: Simplify 1 into 1 1545044208.248 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.248 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.248 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.248 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.248 * [misc]backup-simplify: Simplify PI into PI 1545044208.248 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.248 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.248 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.249 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044208.249 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044208.249 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.249 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545044208.249 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545044208.249 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.249 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.249 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.249 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.249 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.249 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.249 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.249 * [misc]backup-simplify: Simplify -1 into -1 1545044208.249 * [misc]taylor: Taking taylor expansion of k in k 1545044208.249 * [misc]backup-simplify: Simplify 0 into 0 1545044208.249 * [misc]backup-simplify: Simplify 1 into 1 1545044208.249 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.249 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.249 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.249 * [misc]backup-simplify: Simplify PI into PI 1545044208.249 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.250 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.250 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.250 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044208.250 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044208.250 * [misc]backup-simplify: Simplify (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044208.250 * [misc]backup-simplify: Simplify 0 into 0 1545044208.250 * [misc]backup-simplify: Simplify 0 into 0 1545044208.251 * [misc]backup-simplify: Simplify 0 into 0 1545044208.251 * [misc]backup-simplify: Simplify 0 into 0 1545044208.251 * [misc]backup-simplify: Simplify 0 into 0 1545044208.251 * [misc]backup-simplify: Simplify 0 into 0 1545044208.251 * [misc]backup-simplify: Simplify (exp (* (log PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2))) into (exp (* (log PI) (fma -1/2 k 1/2))) 1545044208.251 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1545044208.251 * [misc]backup-simplify: Simplify (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) into (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) 1545044208.251 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in (k n) around 0 1545044208.251 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in n 1545044208.251 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in n 1545044208.251 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in n 1545044208.251 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in n 1545044208.251 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in n 1545044208.251 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044208.251 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.251 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044208.251 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.251 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.251 * [misc]taylor: Taking taylor expansion of k in n 1545044208.251 * [misc]backup-simplify: Simplify k into k 1545044208.251 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.251 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.251 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.251 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.251 * [misc]backup-simplify: Simplify PI into PI 1545044208.252 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.252 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044208.252 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044208.252 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545044208.253 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545044208.253 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in n 1545044208.253 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044208.253 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044208.253 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044208.253 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044208.253 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.253 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044208.253 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.253 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.253 * [misc]taylor: Taking taylor expansion of k in n 1545044208.253 * [misc]backup-simplify: Simplify k into k 1545044208.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.253 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044208.253 * [misc]taylor: Taking taylor expansion of n in n 1545044208.253 * [misc]backup-simplify: Simplify 0 into 0 1545044208.253 * [misc]backup-simplify: Simplify 1 into 1 1545044208.253 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.253 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044208.253 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044208.253 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.253 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044208.253 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044208.253 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in n 1545044208.253 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in n 1545044208.253 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in n 1545044208.253 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044208.253 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.253 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044208.253 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.253 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.254 * [misc]taylor: Taking taylor expansion of k in n 1545044208.254 * [misc]backup-simplify: Simplify k into k 1545044208.254 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.254 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.254 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.254 * [misc]backup-simplify: Simplify 2 into 2 1545044208.254 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.254 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044208.254 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044208.254 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1545044208.254 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1545044208.254 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545044208.254 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.254 * [misc]taylor: Taking taylor expansion of k in n 1545044208.254 * [misc]backup-simplify: Simplify k into k 1545044208.254 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.254 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545044208.254 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044208.254 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545044208.254 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in k 1545044208.254 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1545044208.254 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545044208.255 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545044208.255 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545044208.255 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.255 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.255 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.255 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.255 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.255 * [misc]taylor: Taking taylor expansion of k in k 1545044208.255 * [misc]backup-simplify: Simplify 0 into 0 1545044208.255 * [misc]backup-simplify: Simplify 1 into 1 1545044208.255 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.255 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.255 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.255 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.255 * [misc]backup-simplify: Simplify PI into PI 1545044208.255 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.255 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.255 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.255 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044208.256 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545044208.256 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1545044208.256 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044208.256 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044208.256 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044208.256 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.256 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.256 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.256 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.256 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.256 * [misc]taylor: Taking taylor expansion of k in k 1545044208.256 * [misc]backup-simplify: Simplify 0 into 0 1545044208.256 * [misc]backup-simplify: Simplify 1 into 1 1545044208.256 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.256 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044208.256 * [misc]taylor: Taking taylor expansion of n in k 1545044208.256 * [misc]backup-simplify: Simplify n into n 1545044208.256 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044208.256 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.256 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.256 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044208.257 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044208.257 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1545044208.257 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1545044208.257 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1545044208.257 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.257 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.257 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.257 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.257 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.257 * [misc]taylor: Taking taylor expansion of k in k 1545044208.257 * [misc]backup-simplify: Simplify 0 into 0 1545044208.257 * [misc]backup-simplify: Simplify 1 into 1 1545044208.257 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.257 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044208.257 * [misc]taylor: Taking taylor expansion of 2 in k 1545044208.257 * [misc]backup-simplify: Simplify 2 into 2 1545044208.257 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.257 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.257 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.257 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044208.258 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545044208.258 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545044208.258 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.258 * [misc]taylor: Taking taylor expansion of k in k 1545044208.258 * [misc]backup-simplify: Simplify 0 into 0 1545044208.258 * [misc]backup-simplify: Simplify 1 into 1 1545044208.258 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.258 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.258 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.258 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) (sqrt (/ 1 k))) in k 1545044208.258 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1545044208.258 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545044208.258 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545044208.258 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545044208.258 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.258 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.258 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.258 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.258 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.258 * [misc]taylor: Taking taylor expansion of k in k 1545044208.258 * [misc]backup-simplify: Simplify 0 into 0 1545044208.258 * [misc]backup-simplify: Simplify 1 into 1 1545044208.258 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.259 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.259 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.259 * [misc]backup-simplify: Simplify PI into PI 1545044208.259 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.259 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.259 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.259 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044208.260 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545044208.260 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1545044208.260 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044208.260 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044208.260 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044208.260 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.260 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.260 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.260 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.260 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.260 * [misc]taylor: Taking taylor expansion of k in k 1545044208.260 * [misc]backup-simplify: Simplify 0 into 0 1545044208.260 * [misc]backup-simplify: Simplify 1 into 1 1545044208.260 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.260 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.260 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044208.260 * [misc]taylor: Taking taylor expansion of n in k 1545044208.260 * [misc]backup-simplify: Simplify n into n 1545044208.260 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044208.260 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.260 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.260 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044208.261 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044208.261 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1545044208.261 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1545044208.261 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1545044208.261 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.261 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.261 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.261 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.261 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.261 * [misc]taylor: Taking taylor expansion of k in k 1545044208.261 * [misc]backup-simplify: Simplify 0 into 0 1545044208.261 * [misc]backup-simplify: Simplify 1 into 1 1545044208.261 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.261 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044208.261 * [misc]taylor: Taking taylor expansion of 2 in k 1545044208.261 * [misc]backup-simplify: Simplify 2 into 2 1545044208.261 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.261 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.261 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.261 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044208.262 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545044208.262 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545044208.262 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.262 * [misc]taylor: Taking taylor expansion of k in k 1545044208.262 * [misc]backup-simplify: Simplify 0 into 0 1545044208.262 * [misc]backup-simplify: Simplify 1 into 1 1545044208.262 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.262 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.262 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.262 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow 2 1/2)) into (sqrt (* n 2)) 1545044208.263 * [misc]backup-simplify: Simplify (* (pow PI 1/2) (sqrt (* n 2))) into (* (sqrt 2) (sqrt (* n PI))) 1545044208.263 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 1545044208.263 * [misc]taylor: Taking taylor expansion of 0 in n 1545044208.263 * [misc]backup-simplify: Simplify 0 into 0 1545044208.263 * [misc]backup-simplify: Simplify 0 into 0 1545044208.265 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044208.265 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044208.266 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.266 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1545044208.269 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1545044208.270 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044208.270 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044208.270 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.270 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545044208.271 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545044208.272 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (sqrt n) (log n))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1545044208.274 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044208.274 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044208.275 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.275 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545044208.279 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545044208.281 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* -1/2 (* (log PI) (sqrt PI))) (sqrt (* n 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 1545044208.284 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545044208.284 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545044208.284 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545044208.284 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.284 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.284 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545044208.284 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.284 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.284 * [misc]backup-simplify: Simplify 2 into 2 1545044208.284 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.284 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.284 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044208.284 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044208.284 * [misc]taylor: Taking taylor expansion of n in n 1545044208.284 * [misc]backup-simplify: Simplify 0 into 0 1545044208.284 * [misc]backup-simplify: Simplify 1 into 1 1545044208.285 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.285 * [misc]backup-simplify: Simplify PI into PI 1545044208.285 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044208.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044208.286 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.286 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.286 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545044208.286 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.287 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.287 * [misc]backup-simplify: Simplify 0 into 0 1545044208.287 * [misc]backup-simplify: Simplify 0 into 0 1545044208.287 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044208.288 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044208.292 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545044208.292 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044208.293 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.293 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1545044208.297 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1545044208.298 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044208.298 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044208.299 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.299 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545044208.300 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044208.303 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1545044208.307 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545044208.308 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044208.308 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.309 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545044208.313 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545044208.316 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (sqrt (* n 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 1545044208.321 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 1545044208.321 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) in n 1545044208.321 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))) in n 1545044208.322 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1545044208.322 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.322 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.322 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1545044208.322 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1545044208.322 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.322 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.322 * [misc]backup-simplify: Simplify 2 into 2 1545044208.322 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.322 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.322 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.322 * [misc]backup-simplify: Simplify 2 into 2 1545044208.322 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.322 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.322 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044208.322 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044208.322 * [misc]taylor: Taking taylor expansion of n in n 1545044208.322 * [misc]backup-simplify: Simplify 0 into 0 1545044208.322 * [misc]backup-simplify: Simplify 1 into 1 1545044208.322 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.322 * [misc]backup-simplify: Simplify PI into PI 1545044208.322 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044208.323 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044208.323 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.323 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.323 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) in n 1545044208.323 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))) in n 1545044208.323 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545044208.323 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.323 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.323 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545044208.323 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545044208.323 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.323 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.323 * [misc]backup-simplify: Simplify 2 into 2 1545044208.323 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.324 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.324 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.324 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.324 * [misc]backup-simplify: Simplify PI into PI 1545044208.324 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.324 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044208.324 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044208.324 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.324 * [misc]backup-simplify: Simplify PI into PI 1545044208.324 * [misc]taylor: Taking taylor expansion of n in n 1545044208.324 * [misc]backup-simplify: Simplify 0 into 0 1545044208.324 * [misc]backup-simplify: Simplify 1 into 1 1545044208.324 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044208.324 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044208.325 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.325 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.325 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 1545044208.325 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1545044208.325 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545044208.325 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.325 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.325 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545044208.325 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.325 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.325 * [misc]backup-simplify: Simplify 2 into 2 1545044208.325 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.325 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.325 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044208.325 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044208.325 * [misc]taylor: Taking taylor expansion of n in n 1545044208.325 * [misc]backup-simplify: Simplify 0 into 0 1545044208.325 * [misc]backup-simplify: Simplify 1 into 1 1545044208.325 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.325 * [misc]backup-simplify: Simplify PI into PI 1545044208.326 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044208.326 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044208.326 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.326 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.326 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1545044208.326 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545044208.326 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.326 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.326 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545044208.326 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044208.326 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.326 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.326 * [misc]backup-simplify: Simplify 2 into 2 1545044208.327 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.327 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.327 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044208.327 * [misc]taylor: Taking taylor expansion of n in n 1545044208.327 * [misc]backup-simplify: Simplify 0 into 0 1545044208.327 * [misc]backup-simplify: Simplify 1 into 1 1545044208.327 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.327 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044208.327 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044208.327 * [misc]taylor: Taking taylor expansion of n in n 1545044208.327 * [misc]backup-simplify: Simplify 0 into 0 1545044208.327 * [misc]backup-simplify: Simplify 1 into 1 1545044208.327 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.327 * [misc]backup-simplify: Simplify PI into PI 1545044208.327 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044208.327 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044208.328 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.328 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.328 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1545044208.328 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1545044208.328 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.329 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545044208.329 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545044208.330 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.330 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545044208.330 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.330 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.330 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044208.330 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545044208.330 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.330 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.331 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.331 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.331 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.331 * [misc]backup-simplify: Simplify 0 into 0 1545044208.332 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044208.333 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044208.334 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044208.334 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044208.334 * [misc]backup-simplify: Simplify 0 into 0 1545044208.335 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044208.335 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044208.339 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545044208.339 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545044208.340 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.340 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1545044208.346 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 1545044208.349 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1545044208.349 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545044208.349 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.350 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1545044208.351 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1545044208.356 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (pow (log 2) 3) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow 2 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt n))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt n))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt n))))))) 1545044208.363 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545044208.364 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545044208.364 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.366 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545044208.374 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1545044208.387 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt n))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt n))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt n)))))))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (sqrt (* n 2)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 1545044208.413 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 1545044208.413 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) in n 1545044208.413 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))))) in n 1545044208.413 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1545044208.413 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.414 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.414 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1545044208.414 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1545044208.414 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.414 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.414 * [misc]backup-simplify: Simplify 2 into 2 1545044208.414 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.414 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.414 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1545044208.414 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044208.414 * [misc]taylor: Taking taylor expansion of n in n 1545044208.414 * [misc]backup-simplify: Simplify 0 into 0 1545044208.414 * [misc]backup-simplify: Simplify 1 into 1 1545044208.415 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.415 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.415 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044208.415 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044208.415 * [misc]taylor: Taking taylor expansion of n in n 1545044208.415 * [misc]backup-simplify: Simplify 0 into 0 1545044208.415 * [misc]backup-simplify: Simplify 1 into 1 1545044208.415 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.415 * [misc]backup-simplify: Simplify PI into PI 1545044208.415 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044208.416 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044208.416 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.417 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.417 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))) in n 1545044208.417 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))) in n 1545044208.417 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545044208.417 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.417 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.417 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545044208.417 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545044208.417 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.417 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.417 * [misc]backup-simplify: Simplify 2 into 2 1545044208.417 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.418 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.418 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545044208.418 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.418 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.418 * [misc]backup-simplify: Simplify PI into PI 1545044208.418 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.418 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044208.418 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044208.418 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.418 * [misc]backup-simplify: Simplify PI into PI 1545044208.418 * [misc]taylor: Taking taylor expansion of n in n 1545044208.418 * [misc]backup-simplify: Simplify 0 into 0 1545044208.418 * [misc]backup-simplify: Simplify 1 into 1 1545044208.418 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044208.419 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044208.419 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.420 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.420 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))) in n 1545044208.420 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))) in n 1545044208.420 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1545044208.420 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.420 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.420 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1545044208.420 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1545044208.420 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1545044208.420 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.420 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.420 * [misc]backup-simplify: Simplify 2 into 2 1545044208.420 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.420 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.420 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.420 * [misc]backup-simplify: Simplify 2 into 2 1545044208.421 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.421 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.421 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044208.421 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044208.421 * [misc]taylor: Taking taylor expansion of n in n 1545044208.421 * [misc]backup-simplify: Simplify 0 into 0 1545044208.421 * [misc]backup-simplify: Simplify 1 into 1 1545044208.421 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.421 * [misc]backup-simplify: Simplify PI into PI 1545044208.421 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044208.422 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044208.422 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.423 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.423 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))) in n 1545044208.423 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))) in n 1545044208.423 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545044208.423 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.423 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.423 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545044208.423 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.423 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.423 * [misc]backup-simplify: Simplify 2 into 2 1545044208.423 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.423 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.423 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044208.423 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044208.423 * [misc]taylor: Taking taylor expansion of n in n 1545044208.423 * [misc]backup-simplify: Simplify 0 into 0 1545044208.424 * [misc]backup-simplify: Simplify 1 into 1 1545044208.424 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.424 * [misc]backup-simplify: Simplify PI into PI 1545044208.424 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044208.424 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044208.425 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.425 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.425 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))) in n 1545044208.425 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))) in n 1545044208.425 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545044208.425 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.425 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.425 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545044208.425 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044208.425 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.425 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.425 * [misc]backup-simplify: Simplify 2 into 2 1545044208.426 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.426 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.426 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044208.426 * [misc]taylor: Taking taylor expansion of n in n 1545044208.426 * [misc]backup-simplify: Simplify 0 into 0 1545044208.426 * [misc]backup-simplify: Simplify 1 into 1 1545044208.426 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.426 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044208.426 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044208.426 * [misc]taylor: Taking taylor expansion of n in n 1545044208.426 * [misc]backup-simplify: Simplify 0 into 0 1545044208.426 * [misc]backup-simplify: Simplify 1 into 1 1545044208.426 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.426 * [misc]backup-simplify: Simplify PI into PI 1545044208.427 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044208.427 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044208.427 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.428 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.428 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))) in n 1545044208.428 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))) in n 1545044208.428 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545044208.428 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.428 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.428 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545044208.428 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545044208.428 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.428 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.428 * [misc]backup-simplify: Simplify 2 into 2 1545044208.428 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.428 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.428 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.428 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.428 * [misc]backup-simplify: Simplify PI into PI 1545044208.428 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.428 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044208.428 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044208.428 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.428 * [misc]backup-simplify: Simplify PI into PI 1545044208.428 * [misc]taylor: Taking taylor expansion of n in n 1545044208.428 * [misc]backup-simplify: Simplify 0 into 0 1545044208.428 * [misc]backup-simplify: Simplify 1 into 1 1545044208.429 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044208.429 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044208.429 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.429 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.429 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))) in n 1545044208.429 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))) in n 1545044208.429 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n 1545044208.429 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.429 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.429 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n 1545044208.430 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n 1545044208.430 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.430 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.430 * [misc]backup-simplify: Simplify 2 into 2 1545044208.430 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.430 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.430 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1545044208.430 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.430 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.430 * [misc]backup-simplify: Simplify PI into PI 1545044208.430 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.430 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044208.430 * [misc]taylor: Taking taylor expansion of n in n 1545044208.430 * [misc]backup-simplify: Simplify 0 into 0 1545044208.430 * [misc]backup-simplify: Simplify 1 into 1 1545044208.430 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.430 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044208.430 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044208.430 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.430 * [misc]backup-simplify: Simplify PI into PI 1545044208.430 * [misc]taylor: Taking taylor expansion of n in n 1545044208.430 * [misc]backup-simplify: Simplify 0 into 0 1545044208.430 * [misc]backup-simplify: Simplify 1 into 1 1545044208.430 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044208.431 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044208.431 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.431 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.431 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))) in n 1545044208.431 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))) in n 1545044208.431 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n 1545044208.431 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.431 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.431 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n 1545044208.431 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n 1545044208.432 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.432 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.432 * [misc]backup-simplify: Simplify 2 into 2 1545044208.432 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.432 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545044208.432 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.432 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.432 * [misc]backup-simplify: Simplify 2 into 2 1545044208.432 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.432 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.432 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044208.432 * [misc]taylor: Taking taylor expansion of n in n 1545044208.432 * [misc]backup-simplify: Simplify 0 into 0 1545044208.432 * [misc]backup-simplify: Simplify 1 into 1 1545044208.432 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.432 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044208.432 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044208.432 * [misc]taylor: Taking taylor expansion of n in n 1545044208.432 * [misc]backup-simplify: Simplify 0 into 0 1545044208.432 * [misc]backup-simplify: Simplify 1 into 1 1545044208.432 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.432 * [misc]backup-simplify: Simplify PI into PI 1545044208.432 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044208.433 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044208.433 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.433 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.433 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))) in n 1545044208.433 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))) in n 1545044208.433 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n 1545044208.433 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.433 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.433 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n 1545044208.433 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n 1545044208.433 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.433 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.433 * [misc]backup-simplify: Simplify 2 into 2 1545044208.434 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.434 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545044208.434 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.434 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.434 * [misc]backup-simplify: Simplify 2 into 2 1545044208.434 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.434 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.434 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.434 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.434 * [misc]backup-simplify: Simplify PI into PI 1545044208.434 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.434 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545044208.434 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545044208.434 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.434 * [misc]backup-simplify: Simplify PI into PI 1545044208.434 * [misc]taylor: Taking taylor expansion of n in n 1545044208.434 * [misc]backup-simplify: Simplify 0 into 0 1545044208.434 * [misc]backup-simplify: Simplify 1 into 1 1545044208.434 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545044208.435 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545044208.435 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.435 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.435 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))) in n 1545044208.435 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1545044208.435 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.435 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.435 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1545044208.435 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1545044208.435 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.435 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.435 * [misc]backup-simplify: Simplify 2 into 2 1545044208.435 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.435 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545044208.435 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.435 * [misc]backup-simplify: Simplify 2 into 2 1545044208.436 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545044208.436 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545044208.436 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545044208.436 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545044208.436 * [misc]taylor: Taking taylor expansion of n in n 1545044208.436 * [misc]backup-simplify: Simplify 0 into 0 1545044208.436 * [misc]backup-simplify: Simplify 1 into 1 1545044208.436 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.436 * [misc]backup-simplify: Simplify PI into PI 1545044208.436 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545044208.436 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545044208.436 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.437 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545044208.437 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.437 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.437 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1545044208.437 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1545044208.438 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1545044208.438 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.438 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545044208.439 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545044208.440 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545044208.440 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.440 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1545044208.441 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1545044208.441 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1545044208.441 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.442 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545044208.442 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.442 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.442 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044208.442 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545044208.442 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.443 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545044208.443 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545044208.443 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.443 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.443 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1545044208.444 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n))) 1545044208.444 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0 1545044208.444 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.444 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.444 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545044208.445 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n))) 1545044208.445 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0 1545044208.445 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.445 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545044208.446 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI))) 1545044208.447 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0 1545044208.447 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.447 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1545044208.447 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.449 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.449 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.449 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.449 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.449 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.449 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.449 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.449 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.449 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.449 * [misc]backup-simplify: Simplify 0 into 0 1545044208.451 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044208.451 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1545044208.452 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1545044208.453 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1545044208.455 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044208.455 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545044208.456 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545044208.458 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545044208.459 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044208.460 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545044208.463 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044208.463 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.463 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1545044208.464 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044208.465 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044208.465 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545044208.466 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1545044208.468 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1545044208.469 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545044208.472 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545044208.475 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545044208.478 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545044208.482 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545044208.483 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545044208.484 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545044208.485 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545044208.487 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044208.489 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044208.490 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044208.491 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545044208.496 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545044208.497 * [misc]backup-simplify: Simplify (/ (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) (/ (sqrt (/ 1 k)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) 1545044208.497 * [misc]approximate: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in (k n) around 0 1545044208.497 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in n 1545044208.497 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545044208.497 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.497 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in n 1545044208.497 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in n 1545044208.497 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.497 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.497 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.497 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.497 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.497 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.497 * [misc]taylor: Taking taylor expansion of k in n 1545044208.497 * [misc]backup-simplify: Simplify k into k 1545044208.497 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.497 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.497 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.497 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.497 * [misc]backup-simplify: Simplify 2 into 2 1545044208.497 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.497 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.498 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.498 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545044208.498 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545044208.498 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.498 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.498 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545044208.498 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545044208.498 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.498 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.498 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.498 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.498 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.498 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.498 * [misc]taylor: Taking taylor expansion of k in n 1545044208.498 * [misc]backup-simplify: Simplify k into k 1545044208.498 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.498 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.498 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.498 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.498 * [misc]backup-simplify: Simplify PI into PI 1545044208.499 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.499 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.499 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.499 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545044208.499 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545044208.499 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.499 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044208.499 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044208.499 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.499 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.499 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.499 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.499 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.499 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.499 * [misc]taylor: Taking taylor expansion of k in n 1545044208.499 * [misc]backup-simplify: Simplify k into k 1545044208.499 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.500 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.500 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044208.500 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.500 * [misc]taylor: Taking taylor expansion of n in n 1545044208.500 * [misc]backup-simplify: Simplify 0 into 0 1545044208.500 * [misc]backup-simplify: Simplify 1 into 1 1545044208.500 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.500 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.500 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.500 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.500 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.501 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044208.501 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.501 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545044208.501 * [misc]taylor: Taking taylor expansion of k in n 1545044208.501 * [misc]backup-simplify: Simplify k into k 1545044208.501 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545044208.501 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545044208.501 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in k 1545044208.501 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1545044208.501 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.501 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1545044208.501 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1545044208.501 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.501 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.501 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.501 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.501 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.501 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.501 * [misc]taylor: Taking taylor expansion of k in k 1545044208.501 * [misc]backup-simplify: Simplify 0 into 0 1545044208.501 * [misc]backup-simplify: Simplify 1 into 1 1545044208.502 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.502 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.502 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044208.502 * [misc]taylor: Taking taylor expansion of 2 in k 1545044208.502 * [misc]backup-simplify: Simplify 2 into 2 1545044208.502 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.502 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.502 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.503 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545044208.503 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1545044208.503 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044208.503 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.503 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545044208.503 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545044208.503 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.503 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.503 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.503 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.503 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.503 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.503 * [misc]taylor: Taking taylor expansion of k in k 1545044208.503 * [misc]backup-simplify: Simplify 0 into 0 1545044208.503 * [misc]backup-simplify: Simplify 1 into 1 1545044208.504 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.504 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.504 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.504 * [misc]backup-simplify: Simplify PI into PI 1545044208.504 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.504 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.504 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.505 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545044208.505 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044208.505 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.505 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044208.505 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044208.505 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.505 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.505 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.505 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.505 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.505 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.505 * [misc]taylor: Taking taylor expansion of k in k 1545044208.505 * [misc]backup-simplify: Simplify 0 into 0 1545044208.505 * [misc]backup-simplify: Simplify 1 into 1 1545044208.506 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.506 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.506 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044208.506 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044208.506 * [misc]taylor: Taking taylor expansion of n in k 1545044208.506 * [misc]backup-simplify: Simplify n into n 1545044208.506 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044208.506 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044208.506 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.506 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.506 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044208.507 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044208.507 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545044208.507 * [misc]taylor: Taking taylor expansion of k in k 1545044208.507 * [misc]backup-simplify: Simplify 0 into 0 1545044208.507 * [misc]backup-simplify: Simplify 1 into 1 1545044208.507 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.507 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.507 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt k)) in k 1545044208.507 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1545044208.507 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.507 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1545044208.507 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1545044208.508 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.508 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.508 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.508 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.508 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.508 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.508 * [misc]taylor: Taking taylor expansion of k in k 1545044208.508 * [misc]backup-simplify: Simplify 0 into 0 1545044208.508 * [misc]backup-simplify: Simplify 1 into 1 1545044208.508 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.508 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044208.508 * [misc]taylor: Taking taylor expansion of 2 in k 1545044208.508 * [misc]backup-simplify: Simplify 2 into 2 1545044208.508 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.508 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.509 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.509 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545044208.509 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1545044208.509 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044208.509 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.509 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545044208.509 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545044208.509 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.509 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.509 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.509 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.509 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.510 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.510 * [misc]taylor: Taking taylor expansion of k in k 1545044208.510 * [misc]backup-simplify: Simplify 0 into 0 1545044208.510 * [misc]backup-simplify: Simplify 1 into 1 1545044208.510 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.510 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.510 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.510 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.510 * [misc]backup-simplify: Simplify PI into PI 1545044208.510 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.510 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.511 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.511 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545044208.511 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545044208.511 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.511 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044208.511 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044208.511 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.512 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.512 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.512 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.512 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.512 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.512 * [misc]taylor: Taking taylor expansion of k in k 1545044208.512 * [misc]backup-simplify: Simplify 0 into 0 1545044208.512 * [misc]backup-simplify: Simplify 1 into 1 1545044208.512 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.512 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.512 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044208.512 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044208.512 * [misc]taylor: Taking taylor expansion of n in k 1545044208.512 * [misc]backup-simplify: Simplify n into n 1545044208.512 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044208.512 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044208.512 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.513 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.513 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044208.513 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044208.513 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545044208.513 * [misc]taylor: Taking taylor expansion of k in k 1545044208.513 * [misc]backup-simplify: Simplify 0 into 0 1545044208.513 * [misc]backup-simplify: Simplify 1 into 1 1545044208.513 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.514 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.514 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545044208.515 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) 1545044208.515 * [misc]backup-simplify: Simplify (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) 0) into 0 1545044208.515 * [misc]taylor: Taking taylor expansion of 0 in n 1545044208.515 * [misc]backup-simplify: Simplify 0 into 0 1545044208.515 * [misc]backup-simplify: Simplify 0 into 0 1545044208.516 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1545044208.516 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545044208.517 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) 1545044208.517 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) in n 1545044208.517 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))))) in n 1545044208.517 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.517 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.517 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1545044208.517 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.517 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.517 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.517 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.517 * [misc]backup-simplify: Simplify 2 into 2 1545044208.517 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.517 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.517 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.517 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.518 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.518 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.518 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.518 * [misc]taylor: Taking taylor expansion of k in n 1545044208.518 * [misc]backup-simplify: Simplify k into k 1545044208.518 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.518 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.518 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.518 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.518 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545044208.518 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545044208.518 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.519 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.519 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044208.519 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044208.519 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.519 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.519 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.519 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.519 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.519 * [misc]taylor: Taking taylor expansion of k in n 1545044208.519 * [misc]backup-simplify: Simplify k into k 1545044208.519 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.519 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044208.519 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.519 * [misc]taylor: Taking taylor expansion of n in n 1545044208.519 * [misc]backup-simplify: Simplify 0 into 0 1545044208.519 * [misc]backup-simplify: Simplify 1 into 1 1545044208.519 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.520 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.520 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.520 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.520 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.520 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044208.520 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.520 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.520 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545044208.520 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545044208.520 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.520 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.521 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.521 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.521 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.521 * [misc]taylor: Taking taylor expansion of k in n 1545044208.521 * [misc]backup-simplify: Simplify k into k 1545044208.521 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.521 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.521 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.521 * [misc]backup-simplify: Simplify PI into PI 1545044208.521 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.521 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.522 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.522 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545044208.522 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545044208.523 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545044208.523 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545044208.524 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545044208.524 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044208.525 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044208.525 * [misc]backup-simplify: Simplify 0 into 0 1545044208.526 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044208.527 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545044208.527 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044208.528 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) 1545044208.528 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) in n 1545044208.528 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))))) in n 1545044208.528 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.528 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.528 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1545044208.528 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.528 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.528 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.529 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.529 * [misc]backup-simplify: Simplify 2 into 2 1545044208.529 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.529 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.529 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.529 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.529 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.529 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.529 * [misc]taylor: Taking taylor expansion of k in n 1545044208.529 * [misc]backup-simplify: Simplify k into k 1545044208.529 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.529 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.529 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.530 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545044208.530 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545044208.530 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.530 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.530 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044208.530 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044208.530 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.530 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.530 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.530 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.530 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.530 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.530 * [misc]taylor: Taking taylor expansion of k in n 1545044208.530 * [misc]backup-simplify: Simplify k into k 1545044208.530 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.530 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044208.530 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.530 * [misc]taylor: Taking taylor expansion of n in n 1545044208.531 * [misc]backup-simplify: Simplify 0 into 0 1545044208.531 * [misc]backup-simplify: Simplify 1 into 1 1545044208.531 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.531 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.531 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.531 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.531 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.531 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044208.532 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.532 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.532 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545044208.532 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545044208.532 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.532 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.532 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.532 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.532 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.532 * [misc]taylor: Taking taylor expansion of k in n 1545044208.532 * [misc]backup-simplify: Simplify k into k 1545044208.532 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.532 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.532 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.532 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.532 * [misc]backup-simplify: Simplify PI into PI 1545044208.532 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.533 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.533 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.533 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545044208.533 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545044208.534 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545044208.534 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545044208.535 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545044208.536 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044208.536 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044208.539 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044208.539 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044208.539 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044208.539 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.540 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545044208.541 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.541 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044208.543 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044208.544 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044208.544 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044208.544 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.544 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.544 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545044208.545 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.545 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545044208.545 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044208.545 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044208.545 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.547 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044208.547 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1545044208.548 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.548 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545044208.548 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545044208.549 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.549 * [misc]backup-simplify: Simplify 0 into 0 1545044208.549 * [misc]backup-simplify: Simplify 0 into 0 1545044208.549 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044208.550 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044208.550 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))))) into 0 1545044208.551 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) 1545044208.551 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))))) in n 1545044208.551 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))))) in n 1545044208.551 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.551 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.551 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1545044208.551 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.551 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.551 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.551 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.551 * [misc]backup-simplify: Simplify 2 into 2 1545044208.551 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.551 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.551 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.551 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.551 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.551 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.551 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.551 * [misc]taylor: Taking taylor expansion of k in n 1545044208.551 * [misc]backup-simplify: Simplify k into k 1545044208.551 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.551 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.551 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.551 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545044208.552 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545044208.552 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.552 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.552 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044208.552 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044208.552 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.552 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.552 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.552 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.552 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.552 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.552 * [misc]taylor: Taking taylor expansion of k in n 1545044208.552 * [misc]backup-simplify: Simplify k into k 1545044208.552 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.552 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.552 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044208.552 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.552 * [misc]taylor: Taking taylor expansion of n in n 1545044208.552 * [misc]backup-simplify: Simplify 0 into 0 1545044208.552 * [misc]backup-simplify: Simplify 1 into 1 1545044208.552 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.552 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.552 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.552 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.553 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.553 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044208.553 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.553 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.553 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545044208.553 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545044208.553 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.553 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.553 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.553 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.553 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.553 * [misc]taylor: Taking taylor expansion of k in n 1545044208.553 * [misc]backup-simplify: Simplify k into k 1545044208.553 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.553 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.553 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.553 * [misc]backup-simplify: Simplify PI into PI 1545044208.553 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.553 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.553 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.554 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545044208.554 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545044208.554 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545044208.554 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545044208.555 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545044208.555 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044208.555 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1545044208.557 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1545044208.557 * [misc]backup-simplify: Simplify (/ (* (pow 2 (fma -1/2 (/ 1 (- k)) 1/2)) (pow PI (fma -1/2 (/ 1 (- k)) 1/2))) (/ (sqrt (/ 1 (- k))) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)))) into (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) 1545044208.557 * [misc]approximate: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in (k n) around 0 1545044208.557 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in n 1545044208.558 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in n 1545044208.558 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.558 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in n 1545044208.558 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in n 1545044208.558 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.558 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.558 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.558 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.558 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.558 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.558 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.558 * [misc]backup-simplify: Simplify -1 into -1 1545044208.558 * [misc]taylor: Taking taylor expansion of k in n 1545044208.558 * [misc]backup-simplify: Simplify k into k 1545044208.558 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.558 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.558 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.558 * [misc]backup-simplify: Simplify PI into PI 1545044208.558 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.558 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.558 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.558 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545044208.559 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545044208.559 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.559 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.559 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044208.559 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044208.559 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.559 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.559 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.559 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.559 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.559 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.559 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.559 * [misc]backup-simplify: Simplify -1 into -1 1545044208.559 * [misc]taylor: Taking taylor expansion of k in n 1545044208.559 * [misc]backup-simplify: Simplify k into k 1545044208.559 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.559 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.559 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044208.559 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044208.559 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.559 * [misc]backup-simplify: Simplify -1 into -1 1545044208.559 * [misc]taylor: Taking taylor expansion of n in n 1545044208.559 * [misc]backup-simplify: Simplify 0 into 0 1545044208.559 * [misc]backup-simplify: Simplify 1 into 1 1545044208.559 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.559 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.559 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.560 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.560 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.560 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044208.560 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.560 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.560 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in n 1545044208.560 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in n 1545044208.560 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.560 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.560 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.560 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.560 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.560 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.560 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.560 * [misc]backup-simplify: Simplify -1 into -1 1545044208.560 * [misc]taylor: Taking taylor expansion of k in n 1545044208.560 * [misc]backup-simplify: Simplify k into k 1545044208.560 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.560 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.561 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.561 * [misc]backup-simplify: Simplify 2 into 2 1545044208.561 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.561 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.561 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.561 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044208.561 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044208.561 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545044208.561 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.561 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.561 * [misc]backup-simplify: Simplify -1 into -1 1545044208.561 * [misc]taylor: Taking taylor expansion of k in n 1545044208.561 * [misc]backup-simplify: Simplify k into k 1545044208.561 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.561 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545044208.561 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044208.561 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545044208.562 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044208.562 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044208.563 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1545044208.563 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in k 1545044208.563 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1545044208.563 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.563 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545044208.563 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545044208.563 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.563 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.563 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.563 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.563 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.563 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.563 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.563 * [misc]backup-simplify: Simplify -1 into -1 1545044208.563 * [misc]taylor: Taking taylor expansion of k in k 1545044208.563 * [misc]backup-simplify: Simplify 0 into 0 1545044208.563 * [misc]backup-simplify: Simplify 1 into 1 1545044208.563 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.563 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.563 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.563 * [misc]backup-simplify: Simplify PI into PI 1545044208.563 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.564 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.564 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.564 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044208.564 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044208.564 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1545044208.564 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.564 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044208.564 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044208.564 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.564 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.564 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.564 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.565 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.565 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.565 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.565 * [misc]backup-simplify: Simplify -1 into -1 1545044208.565 * [misc]taylor: Taking taylor expansion of k in k 1545044208.565 * [misc]backup-simplify: Simplify 0 into 0 1545044208.565 * [misc]backup-simplify: Simplify 1 into 1 1545044208.565 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.565 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044208.565 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044208.565 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.565 * [misc]backup-simplify: Simplify -1 into -1 1545044208.565 * [misc]taylor: Taking taylor expansion of n in k 1545044208.565 * [misc]backup-simplify: Simplify n into n 1545044208.565 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044208.565 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044208.565 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.565 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.565 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044208.565 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044208.565 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.565 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1545044208.565 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1545044208.565 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.565 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.565 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.565 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.565 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.565 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.566 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.566 * [misc]backup-simplify: Simplify -1 into -1 1545044208.566 * [misc]taylor: Taking taylor expansion of k in k 1545044208.566 * [misc]backup-simplify: Simplify 0 into 0 1545044208.566 * [misc]backup-simplify: Simplify 1 into 1 1545044208.566 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.566 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.566 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044208.566 * [misc]taylor: Taking taylor expansion of 2 in k 1545044208.566 * [misc]backup-simplify: Simplify 2 into 2 1545044208.566 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.566 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.566 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.566 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044208.566 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1545044208.566 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545044208.566 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.567 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.567 * [misc]backup-simplify: Simplify -1 into -1 1545044208.567 * [misc]taylor: Taking taylor expansion of k in k 1545044208.567 * [misc]backup-simplify: Simplify 0 into 0 1545044208.567 * [misc]backup-simplify: Simplify 1 into 1 1545044208.567 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.567 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.567 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545044208.567 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1545044208.568 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1545044208.568 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) 1545044208.568 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) (sqrt (/ -1 k))) in k 1545044208.568 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1545044208.568 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.568 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545044208.568 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545044208.568 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.568 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.568 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.568 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.569 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.569 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.569 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.569 * [misc]backup-simplify: Simplify -1 into -1 1545044208.569 * [misc]taylor: Taking taylor expansion of k in k 1545044208.569 * [misc]backup-simplify: Simplify 0 into 0 1545044208.569 * [misc]backup-simplify: Simplify 1 into 1 1545044208.569 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.569 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.569 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545044208.569 * [misc]taylor: Taking taylor expansion of PI in k 1545044208.569 * [misc]backup-simplify: Simplify PI into PI 1545044208.569 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.569 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.569 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.569 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545044208.570 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545044208.570 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1545044208.570 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.570 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044208.570 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044208.570 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.570 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.570 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.570 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.570 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.570 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.570 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.570 * [misc]backup-simplify: Simplify -1 into -1 1545044208.570 * [misc]taylor: Taking taylor expansion of k in k 1545044208.570 * [misc]backup-simplify: Simplify 0 into 0 1545044208.570 * [misc]backup-simplify: Simplify 1 into 1 1545044208.570 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.570 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.570 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.570 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044208.570 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044208.570 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.570 * [misc]backup-simplify: Simplify -1 into -1 1545044208.570 * [misc]taylor: Taking taylor expansion of n in k 1545044208.570 * [misc]backup-simplify: Simplify n into n 1545044208.570 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044208.570 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044208.570 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.570 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.571 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044208.571 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044208.571 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.571 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1545044208.571 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1545044208.571 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.571 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.571 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.571 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.571 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.571 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.571 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.571 * [misc]backup-simplify: Simplify -1 into -1 1545044208.571 * [misc]taylor: Taking taylor expansion of k in k 1545044208.571 * [misc]backup-simplify: Simplify 0 into 0 1545044208.571 * [misc]backup-simplify: Simplify 1 into 1 1545044208.571 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.571 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.571 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545044208.571 * [misc]taylor: Taking taylor expansion of 2 in k 1545044208.571 * [misc]backup-simplify: Simplify 2 into 2 1545044208.571 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.571 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.571 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.572 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545044208.572 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1545044208.572 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545044208.572 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.572 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.572 * [misc]backup-simplify: Simplify -1 into -1 1545044208.572 * [misc]taylor: Taking taylor expansion of k in k 1545044208.572 * [misc]backup-simplify: Simplify 0 into 0 1545044208.572 * [misc]backup-simplify: Simplify 1 into 1 1545044208.572 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.572 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.572 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545044208.573 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1545044208.573 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1545044208.574 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) 1545044208.574 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1545044208.574 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.574 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.574 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044208.574 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.574 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.574 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044208.574 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044208.574 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.574 * [misc]backup-simplify: Simplify -1 into -1 1545044208.574 * [misc]taylor: Taking taylor expansion of n in n 1545044208.574 * [misc]backup-simplify: Simplify 0 into 0 1545044208.574 * [misc]backup-simplify: Simplify 1 into 1 1545044208.574 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.574 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.574 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.574 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.574 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.574 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.574 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.574 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.574 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.574 * [misc]backup-simplify: Simplify -1 into -1 1545044208.574 * [misc]taylor: Taking taylor expansion of k in n 1545044208.574 * [misc]backup-simplify: Simplify k into k 1545044208.574 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.574 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.574 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.575 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.575 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.575 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.575 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044208.575 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.575 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044208.575 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.575 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.575 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.575 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.575 * [misc]backup-simplify: Simplify PI into PI 1545044208.575 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.575 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.575 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.575 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.575 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.575 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.575 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.575 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.576 * [misc]backup-simplify: Simplify -1 into -1 1545044208.576 * [misc]taylor: Taking taylor expansion of k in n 1545044208.576 * [misc]backup-simplify: Simplify k into k 1545044208.576 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.576 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.576 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.576 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.576 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545044208.576 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545044208.576 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.576 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.576 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.576 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.576 * [misc]backup-simplify: Simplify 2 into 2 1545044208.576 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.576 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.576 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.576 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.576 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.576 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.576 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.576 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.577 * [misc]backup-simplify: Simplify -1 into -1 1545044208.577 * [misc]taylor: Taking taylor expansion of k in n 1545044208.577 * [misc]backup-simplify: Simplify k into k 1545044208.577 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.577 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.577 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.577 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.577 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044208.577 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044208.577 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545044208.578 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044208.578 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545044208.579 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545044208.579 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into 0 1545044208.580 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545044208.580 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044208.581 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044208.582 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) 1545044208.582 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) in n 1545044208.582 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1545044208.582 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.582 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.582 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044208.582 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.582 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.582 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044208.583 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044208.583 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.583 * [misc]backup-simplify: Simplify -1 into -1 1545044208.583 * [misc]taylor: Taking taylor expansion of n in n 1545044208.583 * [misc]backup-simplify: Simplify 0 into 0 1545044208.583 * [misc]backup-simplify: Simplify 1 into 1 1545044208.583 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.583 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.583 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.583 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.583 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.583 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.583 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.583 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.583 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.583 * [misc]backup-simplify: Simplify -1 into -1 1545044208.583 * [misc]taylor: Taking taylor expansion of k in n 1545044208.583 * [misc]backup-simplify: Simplify k into k 1545044208.583 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.584 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.584 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.584 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.584 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044208.585 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.585 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044208.585 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.585 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.585 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.585 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.585 * [misc]backup-simplify: Simplify PI into PI 1545044208.585 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.585 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.585 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.585 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.585 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.585 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.585 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.585 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.585 * [misc]backup-simplify: Simplify -1 into -1 1545044208.585 * [misc]taylor: Taking taylor expansion of k in n 1545044208.585 * [misc]backup-simplify: Simplify k into k 1545044208.585 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.586 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.586 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.586 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545044208.586 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545044208.586 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.586 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.586 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.586 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.587 * [misc]backup-simplify: Simplify 2 into 2 1545044208.587 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.587 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.587 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.587 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.587 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.587 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.587 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.587 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.587 * [misc]backup-simplify: Simplify -1 into -1 1545044208.587 * [misc]taylor: Taking taylor expansion of k in n 1545044208.587 * [misc]backup-simplify: Simplify k into k 1545044208.587 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.587 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.587 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.588 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044208.588 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044208.588 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545044208.589 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044208.590 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545044208.591 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545044208.591 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545044208.592 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044208.592 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044208.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.594 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545044208.595 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044208.596 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.596 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044208.596 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044208.596 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.599 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545044208.599 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044208.601 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.601 * [misc]backup-simplify: Simplify (+ (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545044208.601 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.602 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044208.602 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044208.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.602 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044208.605 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545044208.605 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044208.606 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.607 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545044208.608 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545044208.608 * [misc]backup-simplify: Simplify 0 into 0 1545044208.608 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545044208.609 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1545044208.610 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044208.611 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044208.613 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) 1545044208.613 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) in n 1545044208.613 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) in n 1545044208.613 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.613 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.613 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044208.613 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.613 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.613 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044208.613 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044208.613 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.614 * [misc]backup-simplify: Simplify -1 into -1 1545044208.614 * [misc]taylor: Taking taylor expansion of n in n 1545044208.614 * [misc]backup-simplify: Simplify 0 into 0 1545044208.614 * [misc]backup-simplify: Simplify 1 into 1 1545044208.614 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.614 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.614 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.614 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.614 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.614 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.614 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.614 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.614 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.614 * [misc]backup-simplify: Simplify -1 into -1 1545044208.614 * [misc]taylor: Taking taylor expansion of k in n 1545044208.614 * [misc]backup-simplify: Simplify k into k 1545044208.614 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.614 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.615 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.615 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.615 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.616 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044208.616 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.616 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044208.616 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.616 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.616 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545044208.616 * [misc]taylor: Taking taylor expansion of PI in n 1545044208.616 * [misc]backup-simplify: Simplify PI into PI 1545044208.616 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545044208.617 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.617 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.617 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.617 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.617 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.617 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.617 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.617 * [misc]backup-simplify: Simplify -1 into -1 1545044208.617 * [misc]taylor: Taking taylor expansion of k in n 1545044208.617 * [misc]backup-simplify: Simplify k into k 1545044208.617 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.617 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.617 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.617 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.619 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545044208.620 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545044208.620 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.620 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.620 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545044208.620 * [misc]taylor: Taking taylor expansion of 2 in n 1545044208.620 * [misc]backup-simplify: Simplify 2 into 2 1545044208.620 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545044208.620 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.620 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.620 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.620 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.620 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.620 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.620 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.620 * [misc]backup-simplify: Simplify -1 into -1 1545044208.620 * [misc]taylor: Taking taylor expansion of k in n 1545044208.620 * [misc]backup-simplify: Simplify k into k 1545044208.620 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.620 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.620 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.620 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.621 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.621 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545044208.621 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545044208.622 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545044208.622 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545044208.623 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545044208.624 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545044208.625 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545044208.628 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1545044208.628 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1545044208.629 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow n (fma -1/2 k 1/2))) into (* (/ 1 (pow n (fma -1/2 k 1/2))) (sqrt k)) 1545044208.629 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow n (fma -1/2 k 1/2))) (sqrt k)) in (k n) around 0 1545044208.629 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n (fma -1/2 k 1/2))) (sqrt k)) in n 1545044208.629 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n (fma -1/2 k 1/2))) in n 1545044208.629 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545044208.629 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545044208.629 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545044208.629 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545044208.629 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.629 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545044208.629 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.629 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.629 * [misc]taylor: Taking taylor expansion of k in n 1545044208.629 * [misc]backup-simplify: Simplify k into k 1545044208.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.629 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044208.629 * [misc]taylor: Taking taylor expansion of n in n 1545044208.629 * [misc]backup-simplify: Simplify 0 into 0 1545044208.629 * [misc]backup-simplify: Simplify 1 into 1 1545044208.629 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.629 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545044208.629 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545044208.630 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.630 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545044208.630 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545044208.630 * [misc]backup-simplify: Simplify (/ 1 (pow n (- 1/2 (* 1/2 k)))) into (/ 1 (pow n (- 1/2 (* 1/2 k)))) 1545044208.630 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545044208.630 * [misc]taylor: Taking taylor expansion of k in n 1545044208.630 * [misc]backup-simplify: Simplify k into k 1545044208.630 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545044208.630 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545044208.630 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n (fma -1/2 k 1/2))) (sqrt k)) in k 1545044208.630 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n (fma -1/2 k 1/2))) in k 1545044208.630 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044208.630 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044208.630 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044208.630 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.630 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.630 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.631 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.631 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.631 * [misc]taylor: Taking taylor expansion of k in k 1545044208.631 * [misc]backup-simplify: Simplify 0 into 0 1545044208.631 * [misc]backup-simplify: Simplify 1 into 1 1545044208.631 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.631 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044208.631 * [misc]taylor: Taking taylor expansion of n in k 1545044208.631 * [misc]backup-simplify: Simplify n into n 1545044208.631 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044208.631 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.631 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.631 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044208.631 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044208.631 * [misc]backup-simplify: Simplify (/ 1 (pow n 1/2)) into (sqrt (/ 1 n)) 1545044208.631 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545044208.631 * [misc]taylor: Taking taylor expansion of k in k 1545044208.631 * [misc]backup-simplify: Simplify 0 into 0 1545044208.631 * [misc]backup-simplify: Simplify 1 into 1 1545044208.632 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.632 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.632 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n (fma -1/2 k 1/2))) (sqrt k)) in k 1545044208.632 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n (fma -1/2 k 1/2))) in k 1545044208.632 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545044208.632 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545044208.632 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545044208.632 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545044208.633 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545044208.633 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545044208.633 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.633 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.633 * [misc]taylor: Taking taylor expansion of k in k 1545044208.633 * [misc]backup-simplify: Simplify 0 into 0 1545044208.633 * [misc]backup-simplify: Simplify 1 into 1 1545044208.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.633 * [misc]taylor: Taking taylor expansion of (log n) in k 1545044208.633 * [misc]taylor: Taking taylor expansion of n in k 1545044208.633 * [misc]backup-simplify: Simplify n into n 1545044208.633 * [misc]backup-simplify: Simplify (log n) into (log n) 1545044208.633 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545044208.633 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545044208.633 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545044208.633 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545044208.633 * [misc]backup-simplify: Simplify (/ 1 (pow n 1/2)) into (sqrt (/ 1 n)) 1545044208.634 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545044208.634 * [misc]taylor: Taking taylor expansion of k in k 1545044208.634 * [misc]backup-simplify: Simplify 0 into 0 1545044208.634 * [misc]backup-simplify: Simplify 1 into 1 1545044208.634 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.634 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.634 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 n)) 0) into 0 1545044208.634 * [misc]taylor: Taking taylor expansion of 0 in n 1545044208.634 * [misc]backup-simplify: Simplify 0 into 0 1545044208.634 * [misc]backup-simplify: Simplify 0 into 0 1545044208.635 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545044208.635 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545044208.636 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.636 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545044208.636 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545044208.636 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 n)) (/ (* -1/2 (* (sqrt n) (log n))) (pow n 1/2))))) into (* 1/2 (* (sqrt (/ 1 n)) (log n))) 1545044208.636 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 n)) +nan.0) (* (* 1/2 (* (sqrt (/ 1 n)) (log n))) 0)) into (- (* +nan.0 (sqrt (/ 1 n)))) 1545044208.636 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt (/ 1 n)))) in n 1545044208.636 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (/ 1 n))) in n 1545044208.636 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.636 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.636 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545044208.636 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.636 * [misc]taylor: Taking taylor expansion of n in n 1545044208.636 * [misc]backup-simplify: Simplify 0 into 0 1545044208.636 * [misc]backup-simplify: Simplify 1 into 1 1545044208.636 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.637 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.637 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.637 * [misc]backup-simplify: Simplify (+ (* +nan.0 +nan.0) (* 0 0)) into (- +nan.0) 1545044208.637 * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) 1545044208.637 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1545044208.637 * [misc]backup-simplify: Simplify 0 into 0 1545044208.638 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044208.639 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545044208.639 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545044208.639 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.640 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545044208.640 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545044208.641 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 n)) (/ (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow n 1/2))) (* (* 1/2 (* (sqrt (/ 1 n)) (log n))) (/ (* -1/2 (* (sqrt n) (log n))) (pow n 1/2))))) into (* 1/8 (* (sqrt (/ 1 n)) (pow (log n) 2))) 1545044208.641 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 n)) +nan.0) (+ (* (* 1/2 (* (sqrt (/ 1 n)) (log n))) +nan.0) (* (* 1/8 (* (sqrt (/ 1 n)) (pow (log n) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt (/ 1 n)) (log n))) (- (* +nan.0 (sqrt (/ 1 n)))))) 1545044208.641 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (/ 1 n)) (log n))) (- (* +nan.0 (sqrt (/ 1 n)))))) in n 1545044208.641 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (/ 1 n)) (log n))) (- (* +nan.0 (sqrt (/ 1 n))))) in n 1545044208.641 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (log n))) in n 1545044208.641 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.641 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.641 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (log n)) in n 1545044208.641 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545044208.641 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.641 * [misc]taylor: Taking taylor expansion of n in n 1545044208.641 * [misc]backup-simplify: Simplify 0 into 0 1545044208.641 * [misc]backup-simplify: Simplify 1 into 1 1545044208.641 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.641 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.642 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.642 * [misc]taylor: Taking taylor expansion of (log n) in n 1545044208.642 * [misc]taylor: Taking taylor expansion of n in n 1545044208.642 * [misc]backup-simplify: Simplify 0 into 0 1545044208.642 * [misc]backup-simplify: Simplify 1 into 1 1545044208.642 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.642 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt (/ 1 n)))) in n 1545044208.642 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (/ 1 n))) in n 1545044208.642 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.642 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.642 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545044208.642 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.642 * [misc]taylor: Taking taylor expansion of n in n 1545044208.642 * [misc]backup-simplify: Simplify 0 into 0 1545044208.642 * [misc]backup-simplify: Simplify 1 into 1 1545044208.642 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.642 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.642 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.644 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044208.644 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.644 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (log n))) into (- (* +nan.0 (log n))) 1545044208.644 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545044208.644 * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 1545044208.644 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (log n)))) (* 0 0)) into (- (* +nan.0 (log n))) 1545044208.645 * [misc]backup-simplify: Simplify (+ (* +nan.0 +nan.0) (* 0 0)) into (- +nan.0) 1545044208.645 * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) 1545044208.645 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (log n))) (- +nan.0)) into (- (+ (* +nan.0 (log n)) (- +nan.0))) 1545044208.645 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (log n)) (- +nan.0)))) into (- (+ (* +nan.0 (log n)) (- +nan.0))) 1545044208.645 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (log n)) (- +nan.0))) into (- (+ (* +nan.0 (log n)) (- +nan.0))) 1545044208.645 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044208.646 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044208.646 * [misc]backup-simplify: Simplify (+ (* +nan.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1545044208.647 * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) 1545044208.647 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1545044208.647 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* n k)) (+ (* (- (+ (* +nan.0 (log n)) (- +nan.0))) (pow (* 1 k) 2)) (* (- +nan.0) (* 1 k)))) into (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 (pow k 2)) (- (+ (* +nan.0 k) (- (* +nan.0 (* n k))))))))) 1545044208.647 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt (/ 1 k))) 1545044208.647 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt (/ 1 k))) in (k n) around 0 1545044208.648 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt (/ 1 k))) in n 1545044208.648 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.648 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.648 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044208.648 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044208.648 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.648 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.648 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.648 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.648 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.648 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.648 * [misc]taylor: Taking taylor expansion of k in n 1545044208.648 * [misc]backup-simplify: Simplify k into k 1545044208.648 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.648 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.648 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044208.648 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.648 * [misc]taylor: Taking taylor expansion of n in n 1545044208.648 * [misc]backup-simplify: Simplify 0 into 0 1545044208.648 * [misc]backup-simplify: Simplify 1 into 1 1545044208.648 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.648 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.648 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.648 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.648 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.648 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044208.649 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.649 * [misc]backup-simplify: Simplify (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) 1545044208.649 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545044208.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.649 * [misc]taylor: Taking taylor expansion of k in n 1545044208.649 * [misc]backup-simplify: Simplify k into k 1545044208.649 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.649 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545044208.649 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044208.649 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545044208.649 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt (/ 1 k))) in k 1545044208.649 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044208.649 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.649 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044208.649 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044208.649 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.649 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.649 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.649 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.649 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.649 * [misc]taylor: Taking taylor expansion of k in k 1545044208.649 * [misc]backup-simplify: Simplify 0 into 0 1545044208.649 * [misc]backup-simplify: Simplify 1 into 1 1545044208.649 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.649 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044208.649 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044208.649 * [misc]taylor: Taking taylor expansion of n in k 1545044208.649 * [misc]backup-simplify: Simplify n into n 1545044208.650 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044208.650 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044208.650 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.650 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.650 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044208.650 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044208.650 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545044208.650 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545044208.650 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.650 * [misc]taylor: Taking taylor expansion of k in k 1545044208.650 * [misc]backup-simplify: Simplify 0 into 0 1545044208.650 * [misc]backup-simplify: Simplify 1 into 1 1545044208.650 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.650 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.651 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.651 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt (/ 1 k))) in k 1545044208.651 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545044208.651 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545044208.651 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545044208.651 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545044208.651 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545044208.651 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.651 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545044208.651 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.651 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.651 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.651 * [misc]taylor: Taking taylor expansion of k in k 1545044208.651 * [misc]backup-simplify: Simplify 0 into 0 1545044208.651 * [misc]backup-simplify: Simplify 1 into 1 1545044208.651 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.651 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.651 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545044208.651 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545044208.651 * [misc]taylor: Taking taylor expansion of n in k 1545044208.651 * [misc]backup-simplify: Simplify n into n 1545044208.651 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545044208.651 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545044208.651 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545044208.651 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545044208.651 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545044208.652 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545044208.652 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545044208.652 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545044208.652 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545044208.652 * [misc]taylor: Taking taylor expansion of k in k 1545044208.652 * [misc]backup-simplify: Simplify 0 into 0 1545044208.652 * [misc]backup-simplify: Simplify 1 into 1 1545044208.652 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.652 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.652 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545044208.652 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 0) into 0 1545044208.652 * [misc]taylor: Taking taylor expansion of 0 in n 1545044208.652 * [misc]backup-simplify: Simplify 0 into 0 1545044208.652 * [misc]backup-simplify: Simplify 0 into 0 1545044208.653 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (/ 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044208.653 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545044208.653 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545044208.653 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545044208.653 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.653 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.653 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.653 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.653 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044208.653 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044208.653 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.653 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.653 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.653 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.653 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.653 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.653 * [misc]taylor: Taking taylor expansion of k in n 1545044208.653 * [misc]backup-simplify: Simplify k into k 1545044208.653 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.653 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.653 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.653 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044208.653 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.653 * [misc]taylor: Taking taylor expansion of n in n 1545044208.653 * [misc]backup-simplify: Simplify 0 into 0 1545044208.653 * [misc]backup-simplify: Simplify 1 into 1 1545044208.653 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.653 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.654 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.654 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.654 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.654 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044208.654 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.654 * [misc]backup-simplify: Simplify (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) 1545044208.654 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (/ +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) 1545044208.654 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) 1545044208.654 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) 1545044208.654 * [misc]backup-simplify: Simplify 0 into 0 1545044208.655 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044208.655 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044208.656 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (/ 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (* 0 (/ 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044208.656 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545044208.656 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545044208.656 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545044208.656 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.656 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.656 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.656 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.656 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044208.656 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044208.656 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.656 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.656 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.656 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.656 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.656 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.656 * [misc]taylor: Taking taylor expansion of k in n 1545044208.656 * [misc]backup-simplify: Simplify k into k 1545044208.656 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.656 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.656 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044208.656 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.656 * [misc]taylor: Taking taylor expansion of n in n 1545044208.656 * [misc]backup-simplify: Simplify 0 into 0 1545044208.656 * [misc]backup-simplify: Simplify 1 into 1 1545044208.657 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.657 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.657 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.657 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.657 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.657 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044208.657 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.657 * [misc]backup-simplify: Simplify (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) 1545044208.657 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (/ +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) 1545044208.657 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) 1545044208.658 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) 1545044208.658 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545044208.659 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545044208.659 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545044208.659 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545044208.659 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.660 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.660 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545044208.660 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.661 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) (/ 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0 1545044208.661 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1545044208.661 * [misc]backup-simplify: Simplify (- 0) into 0 1545044208.661 * [misc]backup-simplify: Simplify 0 into 0 1545044208.661 * [misc]backup-simplify: Simplify 0 into 0 1545044208.661 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044208.662 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044208.662 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (/ 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (* 0 (/ 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (* 0 (/ 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545044208.663 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545044208.663 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545044208.663 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545044208.663 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.663 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.663 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545044208.663 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545044208.663 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545044208.663 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545044208.663 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545044208.663 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545044208.663 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545044208.663 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.663 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.663 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545044208.663 * [misc]taylor: Taking taylor expansion of k in n 1545044208.663 * [misc]backup-simplify: Simplify k into k 1545044208.663 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545044208.663 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.663 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545044208.663 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545044208.663 * [misc]taylor: Taking taylor expansion of n in n 1545044208.663 * [misc]backup-simplify: Simplify 0 into 0 1545044208.663 * [misc]backup-simplify: Simplify 1 into 1 1545044208.663 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545044208.663 * [misc]backup-simplify: Simplify (log 1) into 0 1545044208.663 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545044208.663 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545044208.664 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545044208.664 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545044208.664 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545044208.664 * [misc]backup-simplify: Simplify (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) 1545044208.664 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (/ +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) 1545044208.665 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) 1545044208.665 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) 1545044208.666 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))))))))) 1545044208.667 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) into (/ (sqrt (/ -1 k)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) 1545044208.667 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in (k n) around 0 1545044208.667 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.667 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545044208.667 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.667 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.667 * [misc]backup-simplify: Simplify -1 into -1 1545044208.667 * [misc]taylor: Taking taylor expansion of k in n 1545044208.667 * [misc]backup-simplify: Simplify k into k 1545044208.667 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.667 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545044208.667 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044208.667 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545044208.667 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.667 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545044208.667 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545044208.667 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.668 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.668 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.668 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.668 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.668 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.668 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.668 * [misc]backup-simplify: Simplify -1 into -1 1545044208.668 * [misc]taylor: Taking taylor expansion of k in n 1545044208.668 * [misc]backup-simplify: Simplify k into k 1545044208.668 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.668 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.668 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044208.668 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044208.668 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.668 * [misc]backup-simplify: Simplify -1 into -1 1545044208.668 * [misc]taylor: Taking taylor expansion of n in n 1545044208.668 * [misc]backup-simplify: Simplify 0 into 0 1545044208.668 * [misc]backup-simplify: Simplify 1 into 1 1545044208.668 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.668 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.669 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.669 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.669 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.669 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044208.670 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.670 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044208.670 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in k 1545044208.670 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545044208.670 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.670 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.670 * [misc]backup-simplify: Simplify -1 into -1 1545044208.670 * [misc]taylor: Taking taylor expansion of k in k 1545044208.670 * [misc]backup-simplify: Simplify 0 into 0 1545044208.670 * [misc]backup-simplify: Simplify 1 into 1 1545044208.670 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.671 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.671 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545044208.671 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.671 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044208.671 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044208.671 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.671 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.671 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.672 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.672 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.672 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.672 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.672 * [misc]backup-simplify: Simplify -1 into -1 1545044208.672 * [misc]taylor: Taking taylor expansion of k in k 1545044208.672 * [misc]backup-simplify: Simplify 0 into 0 1545044208.672 * [misc]backup-simplify: Simplify 1 into 1 1545044208.672 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.672 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.672 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044208.672 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044208.672 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.672 * [misc]backup-simplify: Simplify -1 into -1 1545044208.672 * [misc]taylor: Taking taylor expansion of n in k 1545044208.672 * [misc]backup-simplify: Simplify n into n 1545044208.672 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044208.672 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044208.672 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.673 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.673 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044208.673 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044208.673 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) into (/ +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) 1545044208.673 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in k 1545044208.673 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545044208.673 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.673 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.673 * [misc]backup-simplify: Simplify -1 into -1 1545044208.673 * [misc]taylor: Taking taylor expansion of k in k 1545044208.673 * [misc]backup-simplify: Simplify 0 into 0 1545044208.673 * [misc]backup-simplify: Simplify 1 into 1 1545044208.673 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.674 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545044208.674 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545044208.674 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545044208.674 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545044208.674 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545044208.674 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545044208.674 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.674 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545044208.674 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545044208.674 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.674 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545044208.674 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.674 * [misc]backup-simplify: Simplify -1 into -1 1545044208.674 * [misc]taylor: Taking taylor expansion of k in k 1545044208.674 * [misc]backup-simplify: Simplify 0 into 0 1545044208.675 * [misc]backup-simplify: Simplify 1 into 1 1545044208.675 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.675 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545044208.675 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.675 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545044208.675 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545044208.675 * [misc]taylor: Taking taylor expansion of -1 in k 1545044208.675 * [misc]backup-simplify: Simplify -1 into -1 1545044208.675 * [misc]taylor: Taking taylor expansion of n in k 1545044208.675 * [misc]backup-simplify: Simplify n into n 1545044208.675 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545044208.675 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545044208.675 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545044208.675 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545044208.676 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545044208.676 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545044208.676 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) into (/ +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) 1545044208.676 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044208.676 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.676 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.676 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.676 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.676 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044208.676 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044208.676 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.676 * [misc]backup-simplify: Simplify -1 into -1 1545044208.676 * [misc]taylor: Taking taylor expansion of n in n 1545044208.676 * [misc]backup-simplify: Simplify 0 into 0 1545044208.676 * [misc]backup-simplify: Simplify 1 into 1 1545044208.677 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.677 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.677 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.677 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.677 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.677 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.677 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.677 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.677 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.677 * [misc]backup-simplify: Simplify -1 into -1 1545044208.677 * [misc]taylor: Taking taylor expansion of k in n 1545044208.677 * [misc]backup-simplify: Simplify k into k 1545044208.677 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.677 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.678 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.678 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.678 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.678 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044208.678 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.679 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044208.679 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044208.679 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044208.681 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545044208.681 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) (/ 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))))) 1545044208.681 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))))) in n 1545044208.681 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044208.681 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.681 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.681 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044208.681 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.681 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.681 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044208.681 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044208.681 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.681 * [misc]backup-simplify: Simplify -1 into -1 1545044208.681 * [misc]taylor: Taking taylor expansion of n in n 1545044208.682 * [misc]backup-simplify: Simplify 0 into 0 1545044208.682 * [misc]backup-simplify: Simplify 1 into 1 1545044208.682 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.682 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.682 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.682 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.682 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.682 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.682 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.682 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.682 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.682 * [misc]backup-simplify: Simplify -1 into -1 1545044208.682 * [misc]taylor: Taking taylor expansion of k in n 1545044208.682 * [misc]backup-simplify: Simplify k into k 1545044208.682 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.682 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.683 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.683 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.683 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.683 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044208.684 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.684 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044208.684 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044208.685 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545044208.685 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545044208.685 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.686 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545044208.686 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545044208.686 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545044208.686 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545044208.689 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545044208.689 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545044208.690 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545044208.691 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) into 0 1545044208.691 * [misc]backup-simplify: Simplify 0 into 0 1545044208.692 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545044208.693 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545044208.694 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) (/ 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))))) (/ 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))))) 1545044208.694 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))))) in n 1545044208.694 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))))) in n 1545044208.694 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545044208.694 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545044208.694 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) in n 1545044208.694 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545044208.694 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545044208.694 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545044208.694 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545044208.694 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.694 * [misc]backup-simplify: Simplify -1 into -1 1545044208.694 * [misc]taylor: Taking taylor expansion of n in n 1545044208.694 * [misc]backup-simplify: Simplify 0 into 0 1545044208.694 * [misc]backup-simplify: Simplify 1 into 1 1545044208.694 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545044208.694 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545044208.694 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545044208.695 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545044208.695 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545044208.695 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545044208.695 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545044208.695 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545044208.695 * [misc]taylor: Taking taylor expansion of -1 in n 1545044208.695 * [misc]backup-simplify: Simplify -1 into -1 1545044208.695 * [misc]taylor: Taking taylor expansion of k in n 1545044208.695 * [misc]backup-simplify: Simplify k into k 1545044208.695 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545044208.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545044208.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545044208.695 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545044208.695 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545044208.695 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545044208.696 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545044208.696 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545044208.696 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044208.696 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545044208.696 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545044208.697 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545044208.698 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))))))))) 1545044208.698 * * * [misc]progress: simplifying candidates 1545044208.698 * * * * [misc]progress: [ 1 / 139 ] simplifiying candidate # 1545044208.698 * * * * [misc]progress: [ 2 / 139 ] simplifiying candidate # 1545044208.698 * * * * [misc]progress: [ 3 / 139 ] simplifiying candidate # 1545044208.698 * * * * [misc]progress: [ 4 / 139 ] simplifiying candidate # 1545044208.698 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545044208.698 * * [misc]simplify: iters left: 2 (5 enodes) 1545044208.699 * * [misc]simplify: iters left: 1 (7 enodes) 1545044208.700 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545044208.700 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))))) 1545044208.700 * * * * [misc]progress: [ 5 / 139 ] simplifiying candidate # 1545044208.700 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545044208.700 * * [misc]simplify: iters left: 2 (5 enodes) 1545044208.701 * * [misc]simplify: iters left: 1 (7 enodes) 1545044208.702 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545044208.702 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))))) 1545044208.702 * * * * [misc]progress: [ 6 / 139 ] simplifiying candidate # 1545044208.702 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545044208.702 * * [misc]simplify: iters left: 1 (4 enodes) 1545044208.703 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545044208.703 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow (pow n 1) (fma -1/2 k 1/2))))) 1545044208.703 * * * * [misc]progress: [ 7 / 139 ] simplifiying candidate # 1545044208.703 * [enter]simplify: Simplifying (pow n 1/2) 1545044208.703 * * [misc]simplify: iters left: 1 (3 enodes) 1545044208.704 * [exit]simplify: Simplified to (sqrt n) 1545044208.704 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (* (pow n (* -1/2 k)) (sqrt n))))) 1545044208.704 * * * * [misc]progress: [ 8 / 139 ] simplifiying candidate # 1545044208.704 * * * * [misc]progress: [ 9 / 139 ] simplifiying candidate # 1545044208.704 * * * * [misc]progress: [ 10 / 139 ] simplifiying candidate # 1545044208.704 * * * * [misc]progress: [ 11 / 139 ] simplifiying candidate # 1545044208.704 * * * * [misc]progress: [ 12 / 139 ] simplifiying candidate # 1545044208.704 * * * * [misc]progress: [ 13 / 139 ] simplifiying candidate # 1545044208.704 * * * * [misc]progress: [ 14 / 139 ] simplifiying candidate # 1545044208.704 * * * * [misc]progress: [ 15 / 139 ] simplifiying candidate # 1545044208.704 * * * * [misc]progress: [ 16 / 139 ] simplifiying candidate # 1545044208.704 * * * * [misc]progress: [ 17 / 139 ] simplifiying candidate # 1545044208.704 * * * * [misc]progress: [ 18 / 139 ] simplifiying candidate # 1545044208.704 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545044208.704 * * [misc]simplify: iters left: 2 (5 enodes) 1545044208.705 * * [misc]simplify: iters left: 1 (7 enodes) 1545044208.706 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545044208.706 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow (pow PI (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044208.706 * * * * [misc]progress: [ 19 / 139 ] simplifiying candidate # 1545044208.707 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545044208.707 * * [misc]simplify: iters left: 2 (5 enodes) 1545044208.707 * * [misc]simplify: iters left: 1 (7 enodes) 1545044208.709 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545044208.709 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow (pow PI (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044208.709 * * * * [misc]progress: [ 20 / 139 ] simplifiying candidate # 1545044208.709 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545044208.709 * * [misc]simplify: iters left: 1 (4 enodes) 1545044208.709 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545044208.709 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow (pow PI 1) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044208.709 * * * * [misc]progress: [ 21 / 139 ] simplifiying candidate # 1545044208.710 * [enter]simplify: Simplifying (pow PI 1/2) 1545044208.710 * * [misc]simplify: iters left: 1 (3 enodes) 1545044208.710 * [exit]simplify: Simplified to (sqrt PI) 1545044208.710 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (* -1/2 k)) (sqrt PI))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044208.710 * * * * [misc]progress: [ 22 / 139 ] simplifiying candidate # 1545044208.710 * * * * [misc]progress: [ 23 / 139 ] simplifiying candidate # 1545044208.710 * * * * [misc]progress: [ 24 / 139 ] simplifiying candidate # 1545044208.710 * * * * [misc]progress: [ 25 / 139 ] simplifiying candidate # 1545044208.711 * * * * [misc]progress: [ 26 / 139 ] simplifiying candidate # 1545044208.711 * * * * [misc]progress: [ 27 / 139 ] simplifiying candidate # 1545044208.711 * * * * [misc]progress: [ 28 / 139 ] simplifiying candidate # 1545044208.711 * * * * [misc]progress: [ 29 / 139 ] simplifiying candidate # 1545044208.711 * * * * [misc]progress: [ 30 / 139 ] simplifiying candidate # 1545044208.711 * * * * [misc]progress: [ 31 / 139 ] simplifiying candidate # 1545044208.711 * * * * [misc]progress: [ 32 / 139 ] simplifiying candidate # 1545044208.711 * [enter]simplify: Simplifying (- (+ (* (log 2) (fma -1/2 k 1/2)) (* (log PI) (fma -1/2 k 1/2))) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2)))) 1545044208.711 * * [misc]simplify: iters left: 6 (18 enodes) 1545044208.715 * * [misc]simplify: iters left: 5 (35 enodes) 1545044208.722 * * [misc]simplify: iters left: 4 (94 enodes) 1545044208.756 * * [misc]simplify: iters left: 3 (299 enodes) 1545044209.043 * [exit]simplify: Simplified to (- (fma (fma -1/2 k 1/2) (+ (log 2) (log PI)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545044209.043 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma -1/2 k 1/2) (+ (log 2) (log PI)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))))) 1545044209.044 * * * * [misc]progress: [ 33 / 139 ] simplifiying candidate # 1545044209.045 * [enter]simplify: Simplifying (- (+ (* (log 2) (fma -1/2 k 1/2)) (* (log PI) (fma -1/2 k 1/2))) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2))))) 1545044209.045 * * [misc]simplify: iters left: 6 (18 enodes) 1545044209.052 * * [misc]simplify: iters left: 5 (36 enodes) 1545044209.066 * * [misc]simplify: iters left: 4 (88 enodes) 1545044209.115 * * [misc]simplify: iters left: 3 (256 enodes) 1545044209.366 * [exit]simplify: Simplified to (- (fma (fma -1/2 k 1/2) (+ (log 2) (log PI)) (* (fma -1/2 k 1/2) (log n))) (log (sqrt k))) 1545044209.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma -1/2 k 1/2) (+ (log 2) (log PI)) (* (fma -1/2 k 1/2) (log n))) (log (sqrt k))))) 1545044209.367 * * * * [misc]progress: [ 34 / 139 ] simplifiying candidate # 1545044209.367 * [enter]simplify: Simplifying (- (+ (* (log 2) (fma -1/2 k 1/2)) (* (log PI) (fma -1/2 k 1/2))) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044209.367 * * [misc]simplify: iters left: 6 (17 enodes) 1545044209.373 * * [misc]simplify: iters left: 5 (32 enodes) 1545044209.385 * * [misc]simplify: iters left: 4 (73 enodes) 1545044209.411 * * [misc]simplify: iters left: 3 (194 enodes) 1545044209.495 * [exit]simplify: Simplified to (+ (- (* (log PI) (fma -1/2 k 1/2)) (log (sqrt k))) (* (fma -1/2 k 1/2) (+ (log n) (log 2)))) 1545044209.495 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (fma -1/2 k 1/2)) (log (sqrt k))) (* (fma -1/2 k 1/2) (+ (log n) (log 2)))))) 1545044209.496 * * * * [misc]progress: [ 35 / 139 ] simplifiying candidate # 1545044209.496 * [enter]simplify: Simplifying (- (+ (* (log 2) (fma -1/2 k 1/2)) (log (pow PI (fma -1/2 k 1/2)))) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2)))) 1545044209.496 * * [misc]simplify: iters left: 6 (18 enodes) 1545044209.503 * * [misc]simplify: iters left: 5 (34 enodes) 1545044209.516 * * [misc]simplify: iters left: 4 (85 enodes) 1545044209.565 * * [misc]simplify: iters left: 3 (255 enodes) 1545044209.842 * [exit]simplify: Simplified to (- (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n))) (log (sqrt k))) 1545044209.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n))) (log (sqrt k))))) 1545044209.842 * * * * [misc]progress: [ 36 / 139 ] simplifiying candidate # 1545044209.843 * [enter]simplify: Simplifying (- (+ (* (log 2) (fma -1/2 k 1/2)) (log (pow PI (fma -1/2 k 1/2)))) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2))))) 1545044209.843 * * [misc]simplify: iters left: 6 (18 enodes) 1545044209.846 * * [misc]simplify: iters left: 5 (35 enodes) 1545044209.853 * * [misc]simplify: iters left: 4 (79 enodes) 1545044209.875 * * [misc]simplify: iters left: 3 (212 enodes) 1545044210.101 * [exit]simplify: Simplified to (- (fma (fma -1/2 k 1/2) (+ (log PI) (log 2)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545044210.101 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma -1/2 k 1/2) (+ (log PI) (log 2)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))))) 1545044210.101 * * * * [misc]progress: [ 37 / 139 ] simplifiying candidate # 1545044210.101 * [enter]simplify: Simplifying (- (+ (* (log 2) (fma -1/2 k 1/2)) (log (pow PI (fma -1/2 k 1/2)))) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044210.102 * * [misc]simplify: iters left: 6 (17 enodes) 1545044210.108 * * [misc]simplify: iters left: 5 (31 enodes) 1545044210.119 * * [misc]simplify: iters left: 4 (65 enodes) 1545044210.142 * * [misc]simplify: iters left: 3 (154 enodes) 1545044210.208 * * [misc]simplify: iters left: 2 (479 enodes) 1545044210.840 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log 2) (log n)) (- (* (log PI) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545044210.840 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log 2) (log n)) (- (* (log PI) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1545044210.840 * * * * [misc]progress: [ 38 / 139 ] simplifiying candidate # 1545044210.840 * [enter]simplify: Simplifying (- (+ (log (pow 2 (fma -1/2 k 1/2))) (* (log PI) (fma -1/2 k 1/2))) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2)))) 1545044210.841 * * [misc]simplify: iters left: 6 (18 enodes) 1545044210.848 * * [misc]simplify: iters left: 5 (33 enodes) 1545044210.861 * * [misc]simplify: iters left: 4 (85 enodes) 1545044210.910 * * [misc]simplify: iters left: 3 (251 enodes) 1545044211.138 * [exit]simplify: Simplified to (- (fma (+ (log 2) (log PI)) (fma k -1/2 1/2) (* (log n) (fma k -1/2 1/2))) (log (sqrt k))) 1545044211.139 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (+ (log 2) (log PI)) (fma k -1/2 1/2) (* (log n) (fma k -1/2 1/2))) (log (sqrt k))))) 1545044211.139 * * * * [misc]progress: [ 39 / 139 ] simplifiying candidate # 1545044211.139 * [enter]simplify: Simplifying (- (+ (log (pow 2 (fma -1/2 k 1/2))) (* (log PI) (fma -1/2 k 1/2))) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2))))) 1545044211.139 * * [misc]simplify: iters left: 6 (18 enodes) 1545044211.142 * * [misc]simplify: iters left: 5 (34 enodes) 1545044211.149 * * [misc]simplify: iters left: 4 (79 enodes) 1545044211.178 * * [misc]simplify: iters left: 3 (208 enodes) 1545044211.333 * [exit]simplify: Simplified to (- (fma (fma k -1/2 1/2) (+ (log 2) (log PI)) (* (log n) (fma k -1/2 1/2))) (log (sqrt k))) 1545044211.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma k -1/2 1/2) (+ (log 2) (log PI)) (* (log n) (fma k -1/2 1/2))) (log (sqrt k))))) 1545044211.333 * * * * [misc]progress: [ 40 / 139 ] simplifiying candidate # 1545044211.333 * [enter]simplify: Simplifying (- (+ (log (pow 2 (fma -1/2 k 1/2))) (* (log PI) (fma -1/2 k 1/2))) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044211.333 * * [misc]simplify: iters left: 6 (17 enodes) 1545044211.336 * * [misc]simplify: iters left: 5 (30 enodes) 1545044211.342 * * [misc]simplify: iters left: 4 (65 enodes) 1545044211.358 * * [misc]simplify: iters left: 3 (154 enodes) 1545044211.426 * * [misc]simplify: iters left: 2 (485 enodes) 1545044211.946 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))) 1545044211.946 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))))) 1545044211.946 * * * * [misc]progress: [ 41 / 139 ] simplifiying candidate # 1545044211.946 * [enter]simplify: Simplifying (- (+ (log (pow 2 (fma -1/2 k 1/2))) (log (pow PI (fma -1/2 k 1/2)))) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2)))) 1545044211.946 * * [misc]simplify: iters left: 6 (18 enodes) 1545044211.950 * * [misc]simplify: iters left: 5 (34 enodes) 1545044211.956 * * [misc]simplify: iters left: 4 (79 enodes) 1545044211.979 * * [misc]simplify: iters left: 3 (215 enodes) 1545044212.172 * [exit]simplify: Simplified to (- (fma (fma k -1/2 1/2) (+ (log 2) (log PI)) (* (fma k -1/2 1/2) (log n))) (log (sqrt k))) 1545044212.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma k -1/2 1/2) (+ (log 2) (log PI)) (* (fma k -1/2 1/2) (log n))) (log (sqrt k))))) 1545044212.172 * * * * [misc]progress: [ 42 / 139 ] simplifiying candidate # 1545044212.173 * [enter]simplify: Simplifying (- (+ (log (pow 2 (fma -1/2 k 1/2))) (log (pow PI (fma -1/2 k 1/2)))) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2))))) 1545044212.173 * * [misc]simplify: iters left: 6 (18 enodes) 1545044212.179 * * [misc]simplify: iters left: 5 (35 enodes) 1545044212.191 * * [misc]simplify: iters left: 4 (73 enodes) 1545044212.224 * * [misc]simplify: iters left: 3 (172 enodes) 1545044212.376 * [exit]simplify: Simplified to (- (fma (fma k -1/2 1/2) (+ (log 2) (log PI)) (* (log n) (fma k -1/2 1/2))) (log (sqrt k))) 1545044212.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma k -1/2 1/2) (+ (log 2) (log PI)) (* (log n) (fma k -1/2 1/2))) (log (sqrt k))))) 1545044212.376 * * * * [misc]progress: [ 43 / 139 ] simplifiying candidate # 1545044212.376 * [enter]simplify: Simplifying (- (+ (log (pow 2 (fma -1/2 k 1/2))) (log (pow PI (fma -1/2 k 1/2)))) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044212.376 * * [misc]simplify: iters left: 6 (17 enodes) 1545044212.380 * * [misc]simplify: iters left: 5 (31 enodes) 1545044212.386 * * [misc]simplify: iters left: 4 (59 enodes) 1545044212.401 * * [misc]simplify: iters left: 3 (122 enodes) 1545044212.441 * * [misc]simplify: iters left: 2 (395 enodes) 1545044213.205 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log n) (log 2)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))) 1545044213.205 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (+ (log n) (log 2)) (- (* (fma k -1/2 1/2) (log PI)) (log (sqrt k)))))) 1545044213.205 * * * * [misc]progress: [ 44 / 139 ] simplifiying candidate # 1545044213.205 * [enter]simplify: Simplifying (- (log (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2)))) 1545044213.205 * * [misc]simplify: iters left: 6 (17 enodes) 1545044213.208 * * [misc]simplify: iters left: 5 (30 enodes) 1545044213.215 * * [misc]simplify: iters left: 4 (63 enodes) 1545044213.236 * * [misc]simplify: iters left: 3 (163 enodes) 1545044213.347 * [exit]simplify: Simplified to (- (fma (fma k -1/2 1/2) (+ (log PI) (log 2)) (* (fma k -1/2 1/2) (log n))) (log (sqrt k))) 1545044213.347 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma k -1/2 1/2) (+ (log PI) (log 2)) (* (fma k -1/2 1/2) (log n))) (log (sqrt k))))) 1545044213.348 * * * * [misc]progress: [ 45 / 139 ] simplifiying candidate # 1545044213.348 * [enter]simplify: Simplifying (- (log (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2))))) 1545044213.348 * * [misc]simplify: iters left: 6 (17 enodes) 1545044213.353 * * [misc]simplify: iters left: 5 (31 enodes) 1545044213.363 * * [misc]simplify: iters left: 4 (57 enodes) 1545044213.384 * * [misc]simplify: iters left: 3 (124 enodes) 1545044213.440 * * [misc]simplify: iters left: 2 (349 enodes) 1545044213.680 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (- (* (log PI) (fma k -1/2 1/2)) (log (sqrt k)))) 1545044213.680 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma k -1/2 1/2) (+ (log 2) (log n)) (- (* (log PI) (fma k -1/2 1/2)) (log (sqrt k)))))) 1545044213.681 * * * * [misc]progress: [ 46 / 139 ] simplifiying candidate # 1545044213.681 * [enter]simplify: Simplifying (- (log (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (log (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044213.681 * * [misc]simplify: iters left: 6 (16 enodes) 1545044213.686 * * [misc]simplify: iters left: 5 (27 enodes) 1545044213.695 * * [misc]simplify: iters left: 4 (45 enodes) 1545044213.707 * * [misc]simplify: iters left: 3 (82 enodes) 1545044213.724 * * [misc]simplify: iters left: 2 (168 enodes) 1545044213.860 * [exit]simplify: Simplified to (- (fma (+ (log PI) (log 2)) (fma k -1/2 1/2) (* (log n) (fma k -1/2 1/2))) (log (sqrt k))) 1545044213.860 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (+ (log PI) (log 2)) (fma k -1/2 1/2) (* (log n) (fma k -1/2 1/2))) (log (sqrt k))))) 1545044213.860 * * * * [misc]progress: [ 47 / 139 ] simplifiying candidate # 1545044213.860 * * * * [misc]progress: [ 48 / 139 ] simplifiying candidate # 1545044213.860 * * * * [misc]progress: [ 49 / 139 ] simplifiying candidate # 1545044213.861 * [enter]simplify: Simplifying (/ (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) 1545044213.861 * * [misc]simplify: iters left: 6 (22 enodes) 1545044213.865 * * [misc]simplify: iters left: 5 (44 enodes) 1545044213.875 * * [misc]simplify: iters left: 4 (179 enodes) 1545044214.020 * [exit]simplify: Simplified to (/ (* (pow (pow n (fma k -1/2 1/2)) 3) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))) (/ (/ (* k (sqrt k)) (pow 2 (fma k -1/2 1/2))) (pow (pow PI (fma k -1/2 1/2)) 3))) 1545044214.020 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (pow n (fma k -1/2 1/2)) 3) (* (pow 2 (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2)))) (/ (/ (* k (sqrt k)) (pow 2 (fma k -1/2 1/2))) (pow (pow PI (fma k -1/2 1/2)) 3))))) 1545044214.020 * * * * [misc]progress: [ 50 / 139 ] simplifiying candidate # 1545044214.020 * [enter]simplify: Simplifying (/ (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2)))) (* (* (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044214.021 * * [misc]simplify: iters left: 6 (20 enodes) 1545044214.028 * * [misc]simplify: iters left: 5 (43 enodes) 1545044214.048 * * [misc]simplify: iters left: 4 (162 enodes) 1545044214.149 * [exit]simplify: Simplified to (/ (* (pow (pow PI (fma k -1/2 1/2)) 3) (pow (pow 2 (fma k -1/2 1/2)) 3)) (pow (/ (sqrt k) (pow n (fma k -1/2 1/2))) 3)) 1545044214.149 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (pow PI (fma k -1/2 1/2)) 3) (pow (pow 2 (fma k -1/2 1/2)) 3)) (pow (/ (sqrt k) (pow n (fma k -1/2 1/2))) 3)))) 1545044214.149 * * * * [misc]progress: [ 51 / 139 ] simplifiying candidate # 1545044214.149 * [enter]simplify: Simplifying (/ (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) 1545044214.149 * * [misc]simplify: iters left: 6 (20 enodes) 1545044214.153 * * [misc]simplify: iters left: 5 (43 enodes) 1545044214.162 * * [misc]simplify: iters left: 4 (157 enodes) 1545044214.246 * [exit]simplify: Simplified to (/ (pow (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) 3) (/ (/ (* (sqrt k) k) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))))) 1545044214.246 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (pow (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) 3) (/ (/ (* (sqrt k) k) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))))))) 1545044214.246 * * * * [misc]progress: [ 52 / 139 ] simplifiying candidate # 1545044214.247 * [enter]simplify: Simplifying (/ (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (* (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044214.247 * * [misc]simplify: iters left: 6 (18 enodes) 1545044214.253 * * [misc]simplify: iters left: 5 (42 enodes) 1545044214.274 * * [misc]simplify: iters left: 4 (144 enodes) 1545044214.353 * [exit]simplify: Simplified to (pow (/ (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (/ (sqrt k) (pow n (fma k -1/2 1/2)))) 3) 1545044214.353 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (/ (* (pow PI (fma k -1/2 1/2)) (pow 2 (fma k -1/2 1/2))) (/ (sqrt k) (pow n (fma k -1/2 1/2)))) 3))) 1545044214.353 * * * * [misc]progress: [ 53 / 139 ] simplifiying candidate # 1545044214.354 * * * * [misc]progress: [ 54 / 139 ] simplifiying candidate # 1545044214.354 * * * * [misc]progress: [ 55 / 139 ] simplifiying candidate # 1545044214.354 * * * * [misc]progress: [ 56 / 139 ] simplifiying candidate # 1545044214.354 * * * * [misc]progress: [ 57 / 139 ] simplifiying candidate # 1545044214.354 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1545044214.355 * * [misc]simplify: iters left: 6 (13 enodes) 1545044214.358 * * [misc]simplify: iters left: 5 (17 enodes) 1545044214.363 * * [misc]simplify: iters left: 4 (19 enodes) 1545044214.369 * * [misc]simplify: iters left: 3 (20 enodes) 1545044214.375 * [exit]simplify: Simplified to (/ (/ (pow 2 (fma k -1/2 1/2)) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1545044214.375 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (fma k -1/2 1/2)) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (/ (pow PI (fma -1/2 k 1/2)) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1545044214.375 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044214.375 * * [misc]simplify: iters left: 6 (12 enodes) 1545044214.378 * * [misc]simplify: iters left: 5 (14 enodes) 1545044214.384 * * [misc]simplify: iters left: 4 (16 enodes) 1545044214.389 * * [misc]simplify: iters left: 3 (17 enodes) 1545044214.392 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1545044214.393 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1545044214.393 * * * * [misc]progress: [ 58 / 139 ] simplifiying candidate # 1545044214.393 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044214.393 * * [misc]simplify: iters left: 6 (12 enodes) 1545044214.395 * * [misc]simplify: iters left: 5 (14 enodes) 1545044214.397 * * [misc]simplify: iters left: 4 (16 enodes) 1545044214.399 * * [misc]simplify: iters left: 3 (17 enodes) 1545044214.401 * [exit]simplify: Simplified to (/ (pow 2 (fma k -1/2 1/2)) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1545044214.401 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (fma k -1/2 1/2)) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) (/ (pow PI (fma -1/2 k 1/2)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1545044214.401 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044214.402 * * [misc]simplify: iters left: 6 (12 enodes) 1545044214.403 * * [misc]simplify: iters left: 5 (14 enodes) 1545044214.405 * * [misc]simplify: iters left: 4 (16 enodes) 1545044214.408 * * [misc]simplify: iters left: 3 (17 enodes) 1545044214.410 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1545044214.410 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (/ (sqrt k) (pow n (fma k -1/2 1/2))))))) 1545044214.410 * * * * [misc]progress: [ 59 / 139 ] simplifiying candidate # 1545044214.411 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) 1545044214.411 * * [misc]simplify: iters left: 6 (14 enodes) 1545044214.413 * * [misc]simplify: iters left: 5 (20 enodes) 1545044214.416 * * [misc]simplify: iters left: 4 (29 enodes) 1545044214.420 * * [misc]simplify: iters left: 3 (41 enodes) 1545044214.426 * * [misc]simplify: iters left: 2 (46 enodes) 1545044214.435 * * [misc]simplify: iters left: 1 (53 enodes) 1545044214.448 * [exit]simplify: Simplified to (* (/ (pow 2 (fma k -1/2 1/2)) (cbrt (sqrt k))) (/ (pow n (* k -1/2)) (cbrt (sqrt k)))) 1545044214.448 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (pow 2 (fma k -1/2 1/2)) (cbrt (sqrt k))) (/ (pow n (* k -1/2)) (cbrt (sqrt k)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (pow n 1/2))))) 1545044214.448 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (pow n 1/2))) 1545044214.448 * * [misc]simplify: iters left: 6 (12 enodes) 1545044214.452 * * [misc]simplify: iters left: 5 (17 enodes) 1545044214.456 * * [misc]simplify: iters left: 4 (22 enodes) 1545044214.462 * * [misc]simplify: iters left: 3 (25 enodes) 1545044214.467 * [exit]simplify: Simplified to (* (sqrt n) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))) 1545044214.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) (* (sqrt n) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))))) 1545044214.468 * * * * [misc]progress: [ 60 / 139 ] simplifiying candidate # 1545044214.468 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1545044214.468 * * [misc]simplify: iters left: 6 (15 enodes) 1545044214.472 * * [misc]simplify: iters left: 5 (25 enodes) 1545044214.479 * * [misc]simplify: iters left: 4 (45 enodes) 1545044214.493 * * [misc]simplify: iters left: 3 (71 enodes) 1545044214.514 * * [misc]simplify: iters left: 2 (103 enodes) 1545044214.533 * * [misc]simplify: iters left: 1 (127 enodes) 1545044214.560 * [exit]simplify: Simplified to (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (/ (pow 2 (fma k -1/2 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1545044214.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (/ (pow 2 (fma k -1/2 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))))) 1545044214.560 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1545044214.560 * * [misc]simplify: iters left: 6 (13 enodes) 1545044214.564 * * [misc]simplify: iters left: 5 (17 enodes) 1545044214.569 * * [misc]simplify: iters left: 4 (22 enodes) 1545044214.575 * * [misc]simplify: iters left: 3 (25 enodes) 1545044214.581 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))) 1545044214.581 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))))) 1545044214.581 * * * * [misc]progress: [ 61 / 139 ] simplifiying candidate # 1545044214.581 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) 1545044214.581 * * [misc]simplify: iters left: 6 (14 enodes) 1545044214.585 * * [misc]simplify: iters left: 5 (20 enodes) 1545044214.590 * * [misc]simplify: iters left: 4 (29 enodes) 1545044214.599 * * [misc]simplify: iters left: 3 (42 enodes) 1545044214.610 * * [misc]simplify: iters left: 2 (47 enodes) 1545044214.621 * * [misc]simplify: iters left: 1 (54 enodes) 1545044214.635 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (fma k -1/2 1/2)))) 1545044214.635 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (fma k -1/2 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (fma k -1/2 1/2)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))))) 1545044214.635 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1545044214.635 * * [misc]simplify: iters left: 6 (13 enodes) 1545044214.639 * * [misc]simplify: iters left: 5 (17 enodes) 1545044214.644 * * [misc]simplify: iters left: 4 (22 enodes) 1545044214.650 * * [misc]simplify: iters left: 3 (25 enodes) 1545044214.656 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))) 1545044214.656 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k)))))) 1545044214.656 * * * * [misc]progress: [ 62 / 139 ] simplifiying candidate # 1545044214.656 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545044214.656 * * [misc]simplify: iters left: 6 (12 enodes) 1545044214.660 * * [misc]simplify: iters left: 5 (20 enodes) 1545044214.667 * * [misc]simplify: iters left: 4 (33 enodes) 1545044214.677 * * [misc]simplify: iters left: 3 (55 enodes) 1545044214.693 * * [misc]simplify: iters left: 2 (122 enodes) 1545044214.734 * * [misc]simplify: iters left: 1 (187 enodes) 1545044214.763 * [exit]simplify: Simplified to (/ (/ (pow 2 (fma k -1/2 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545044214.763 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (fma k -1/2 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))))) 1545044214.763 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1545044214.764 * * [misc]simplify: iters left: 6 (12 enodes) 1545044214.767 * * [misc]simplify: iters left: 5 (16 enodes) 1545044214.772 * * [misc]simplify: iters left: 4 (21 enodes) 1545044214.779 * * [misc]simplify: iters left: 3 (24 enodes) 1545044214.785 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k))) (pow n (fma k -1/2 1/2))) 1545044214.785 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow 2 (fma k -1/2 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (pow PI (fma k -1/2 1/2)) (cbrt (sqrt k))) (pow n (fma k -1/2 1/2))))) 1545044214.785 * * * * [misc]progress: [ 63 / 139 ] simplifiying candidate # 1545044214.786 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) 1545044214.786 * * [misc]simplify: iters left: 6 (13 enodes) 1545044214.790 * * [misc]simplify: iters left: 5 (17 enodes) 1545044214.793 * * [misc]simplify: iters left: 4 (22 enodes) 1545044214.796 * * [misc]simplify: iters left: 3 (24 enodes) 1545044214.799 * [exit]simplify: Simplified to (/ (* (pow 2 (fma k -1/2 1/2)) (pow n (* k -1/2))) (sqrt (sqrt k))) 1545044214.799 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow 2 (fma k -1/2 1/2)) (pow n (* k -1/2))) (sqrt (sqrt k))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n 1/2))))) 1545044214.799 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n 1/2))) 1545044214.799 * * [misc]simplify: iters left: 6 (12 enodes) 1545044214.801 * * [misc]simplify: iters left: 5 (17 enodes) 1545044214.803 * * [misc]simplify: iters left: 4 (22 enodes) 1545044214.806 * * [misc]simplify: iters left: 3 (25 enodes) 1545044214.810 * [exit]simplify: Simplified to (* (sqrt n) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))) 1545044214.810 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) (* (sqrt n) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))))) 1545044214.810 * * * * [misc]progress: [ 64 / 139 ] simplifiying candidate # 1545044214.810 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1545044214.810 * * [misc]simplify: iters left: 6 (14 enodes) 1545044214.812 * * [misc]simplify: iters left: 5 (20 enodes) 1545044214.815 * * [misc]simplify: iters left: 4 (27 enodes) 1545044214.823 * * [misc]simplify: iters left: 3 (37 enodes) 1545044214.834 * * [misc]simplify: iters left: 2 (45 enodes) 1545044214.840 * * [misc]simplify: iters left: 1 (47 enodes) 1545044214.847 * [exit]simplify: Simplified to (* (* (/ (pow 2 (fma k -1/2 1/2)) (sqrt (sqrt k))) (cbrt (pow n (fma k -1/2 1/2)))) (cbrt (pow n (fma k -1/2 1/2)))) 1545044214.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (pow 2 (fma k -1/2 1/2)) (sqrt (sqrt k))) (cbrt (pow n (fma k -1/2 1/2)))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))))) 1545044214.847 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))) 1545044214.847 * * [misc]simplify: iters left: 6 (13 enodes) 1545044214.849 * * [misc]simplify: iters left: 5 (17 enodes) 1545044214.852 * * [misc]simplify: iters left: 4 (22 enodes) 1545044214.858 * * [misc]simplify: iters left: 3 (25 enodes) 1545044214.864 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))) 1545044214.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (* (cbrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))))) 1545044214.864 * * * * [misc]progress: [ 65 / 139 ] simplifiying candidate # 1545044214.864 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1545044214.864 * * [misc]simplify: iters left: 6 (13 enodes) 1545044214.868 * * [misc]simplify: iters left: 5 (17 enodes) 1545044214.873 * * [misc]simplify: iters left: 4 (22 enodes) 1545044214.879 * * [misc]simplify: iters left: 3 (25 enodes) 1545044214.885 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow 2 (fma k -1/2 1/2)) (sqrt (sqrt k)))) 1545044214.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow 2 (fma k -1/2 1/2)) (sqrt (sqrt k)))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))))) 1545044214.885 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) 1545044214.885 * * [misc]simplify: iters left: 6 (13 enodes) 1545044214.887 * * [misc]simplify: iters left: 5 (17 enodes) 1545044214.890 * * [misc]simplify: iters left: 4 (22 enodes) 1545044214.893 * * [misc]simplify: iters left: 3 (25 enodes) 1545044214.896 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))) 1545044214.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k)))))) 1545044214.896 * * * * [misc]progress: [ 66 / 139 ] simplifiying candidate # 1545044214.896 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) 1)) 1545044214.896 * * [misc]simplify: iters left: 6 (11 enodes) 1545044214.898 * * [misc]simplify: iters left: 5 (17 enodes) 1545044214.901 * * [misc]simplify: iters left: 4 (26 enodes) 1545044214.905 * * [misc]simplify: iters left: 3 (31 enodes) 1545044214.908 * [exit]simplify: Simplified to (/ (pow 2 (fma k -1/2 1/2)) (sqrt (sqrt k))) 1545044214.908 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (fma k -1/2 1/2)) (sqrt (sqrt k))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))))) 1545044214.908 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1545044214.908 * * [misc]simplify: iters left: 6 (12 enodes) 1545044214.910 * * [misc]simplify: iters left: 5 (16 enodes) 1545044214.913 * * [misc]simplify: iters left: 4 (21 enodes) 1545044214.919 * * [misc]simplify: iters left: 3 (24 enodes) 1545044214.925 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k))) (pow n (fma k -1/2 1/2))) 1545044214.925 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma k -1/2 1/2)) (sqrt (sqrt k))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt (sqrt k))) (pow n (fma k -1/2 1/2))))) 1545044214.925 * * * * [misc]progress: [ 67 / 139 ] simplifiying candidate # 1545044214.925 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ 1 (pow n (* -1/2 k)))) 1545044214.926 * * [misc]simplify: iters left: 6 (12 enodes) 1545044214.929 * * [misc]simplify: iters left: 5 (18 enodes) 1545044214.935 * * [misc]simplify: iters left: 4 (23 enodes) 1545044214.944 * * [misc]simplify: iters left: 3 (33 enodes) 1545044214.953 * * [misc]simplify: iters left: 2 (35 enodes) 1545044214.959 * * [misc]simplify: iters left: 1 (40 enodes) 1545044214.968 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (pow 2 (fma k -1/2 1/2))) 1545044214.968 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (* k -1/2)) (pow 2 (fma k -1/2 1/2))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n 1/2))))) 1545044214.969 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n 1/2))) 1545044214.969 * * [misc]simplify: iters left: 5 (11 enodes) 1545044214.972 * * [misc]simplify: iters left: 4 (16 enodes) 1545044214.976 * * [misc]simplify: iters left: 3 (21 enodes) 1545044214.982 * * [misc]simplify: iters left: 2 (24 enodes) 1545044214.988 * [exit]simplify: Simplified to (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (sqrt n))) 1545044214.988 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (* k -1/2)) (pow 2 (fma k -1/2 1/2))) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (sqrt n))))) 1545044214.988 * * * * [misc]progress: [ 68 / 139 ] simplifiying candidate # 1545044214.989 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) 1545044214.989 * * [misc]simplify: iters left: 6 (13 enodes) 1545044214.993 * * [misc]simplify: iters left: 5 (21 enodes) 1545044214.999 * * [misc]simplify: iters left: 4 (28 enodes) 1545044215.008 * * [misc]simplify: iters left: 3 (43 enodes) 1545044215.020 * * [misc]simplify: iters left: 2 (50 enodes) 1545044215.031 * * [misc]simplify: iters left: 1 (55 enodes) 1545044215.039 * [exit]simplify: Simplified to (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (pow 2 (fma k -1/2 1/2))) 1545044215.039 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (pow 2 (fma k -1/2 1/2))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))))) 1545044215.040 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))) 1545044215.040 * * [misc]simplify: iters left: 6 (12 enodes) 1545044215.041 * * [misc]simplify: iters left: 5 (16 enodes) 1545044215.044 * * [misc]simplify: iters left: 4 (21 enodes) 1545044215.047 * * [misc]simplify: iters left: 3 (24 enodes) 1545044215.050 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (cbrt (pow n (fma k -1/2 1/2)))) 1545044215.050 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (pow 2 (fma k -1/2 1/2))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (cbrt (pow n (fma k -1/2 1/2)))))) 1545044215.050 * * * * [misc]progress: [ 69 / 139 ] simplifiying candidate # 1545044215.050 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ 1 (sqrt (pow n (fma -1/2 k 1/2))))) 1545044215.050 * * [misc]simplify: iters left: 6 (12 enodes) 1545044215.052 * * [misc]simplify: iters left: 5 (18 enodes) 1545044215.055 * * [misc]simplify: iters left: 4 (23 enodes) 1545044215.059 * * [misc]simplify: iters left: 3 (34 enodes) 1545044215.064 * * [misc]simplify: iters left: 2 (36 enodes) 1545044215.071 * * [misc]simplify: iters left: 1 (41 enodes) 1545044215.081 * [exit]simplify: Simplified to (* (sqrt (pow n (fma k -1/2 1/2))) (pow 2 (fma k -1/2 1/2))) 1545044215.081 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (fma k -1/2 1/2))) (pow 2 (fma k -1/2 1/2))) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))))) 1545044215.081 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))) 1545044215.081 * * [misc]simplify: iters left: 6 (12 enodes) 1545044215.085 * * [misc]simplify: iters left: 5 (16 enodes) 1545044215.090 * * [misc]simplify: iters left: 4 (21 enodes) 1545044215.096 * * [misc]simplify: iters left: 3 (24 enodes) 1545044215.103 * [exit]simplify: Simplified to (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (sqrt (pow n (fma k -1/2 1/2)))) 1545044215.103 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (fma k -1/2 1/2))) (pow 2 (fma k -1/2 1/2))) (* (/ (pow PI (fma k -1/2 1/2)) (sqrt k)) (sqrt (pow n (fma k -1/2 1/2)))))) 1545044215.103 * * * * [misc]progress: [ 70 / 139 ] simplifiying candidate # 1545044215.104 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (/ 1 1)) 1545044215.104 * * [misc]simplify: iters left: 4 (9 enodes) 1545044215.106 * * [misc]simplify: iters left: 3 (13 enodes) 1545044215.110 * * [misc]simplify: iters left: 2 (15 enodes) 1545044215.114 * * [misc]simplify: iters left: 1 (18 enodes) 1545044215.118 * [exit]simplify: Simplified to (pow 2 (fma k -1/2 1/2)) 1545044215.118 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow 2 (fma k -1/2 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1545044215.118 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1545044215.119 * * [misc]simplify: iters left: 6 (11 enodes) 1545044215.121 * * [misc]simplify: iters left: 5 (15 enodes) 1545044215.123 * * [misc]simplify: iters left: 4 (20 enodes) 1545044215.126 * * [misc]simplify: iters left: 3 (23 enodes) 1545044215.129 * [exit]simplify: Simplified to (/ (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (sqrt k)) 1545044215.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (fma k -1/2 1/2)) (/ (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (sqrt k)))) 1545044215.129 * * * * [misc]progress: [ 71 / 139 ] simplifiying candidate # 1545044215.129 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) 1) 1545044215.129 * * [misc]simplify: iters left: 4 (8 enodes) 1545044215.130 * * [misc]simplify: iters left: 3 (12 enodes) 1545044215.133 * * [misc]simplify: iters left: 2 (16 enodes) 1545044215.135 * * [misc]simplify: iters left: 1 (17 enodes) 1545044215.136 * [exit]simplify: Simplified to (pow 2 (fma k -1/2 1/2)) 1545044215.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow 2 (fma k -1/2 1/2)) (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1545044215.137 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1545044215.137 * * [misc]simplify: iters left: 6 (11 enodes) 1545044215.139 * * [misc]simplify: iters left: 5 (15 enodes) 1545044215.141 * * [misc]simplify: iters left: 4 (20 enodes) 1545044215.144 * * [misc]simplify: iters left: 3 (23 enodes) 1545044215.147 * [exit]simplify: Simplified to (/ (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (sqrt k)) 1545044215.147 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow 2 (fma k -1/2 1/2)) (/ (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (sqrt k)))) 1545044215.147 * * * * [misc]progress: [ 72 / 139 ] simplifiying candidate # 1545044215.147 * [enter]simplify: Simplifying (/ (pow 2 (fma -1/2 k 1/2)) (sqrt k)) 1545044215.147 * * [misc]simplify: iters left: 4 (8 enodes) 1545044215.150 * * [misc]simplify: iters left: 3 (10 enodes) 1545044215.153 * * [misc]simplify: iters left: 2 (12 enodes) 1545044215.156 * * [misc]simplify: iters left: 1 (13 enodes) 1545044215.160 * [exit]simplify: Simplified to (/ (pow 2 (fma k -1/2 1/2)) (sqrt k)) 1545044215.160 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (fma k -1/2 1/2)) (sqrt k)) (/ (pow PI (fma -1/2 k 1/2)) (/ 1 (pow n (fma -1/2 k 1/2)))))) 1545044215.160 * [enter]simplify: Simplifying (/ (pow PI (fma -1/2 k 1/2)) (/ 1 (pow n (fma -1/2 k 1/2)))) 1545044215.160 * * [misc]simplify: iters left: 6 (11 enodes) 1545044215.163 * * [misc]simplify: iters left: 5 (17 enodes) 1545044215.168 * * [misc]simplify: iters left: 4 (22 enodes) 1545044215.175 * * [misc]simplify: iters left: 3 (33 enodes) 1545044215.180 * * [misc]simplify: iters left: 2 (35 enodes) 1545044215.183 * * [misc]simplify: iters left: 1 (40 enodes) 1545044215.188 * [exit]simplify: Simplified to (* (pow PI (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) 1545044215.188 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (fma -1/2 k 1/2)) (sqrt k)) (* (pow PI (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))))) 1545044215.188 * * * * [misc]progress: [ 73 / 139 ] simplifiying candidate # 1545044215.188 * * * * [misc]progress: [ 74 / 139 ] simplifiying candidate # 1545044215.188 * * * * [misc]progress: [ 75 / 139 ] simplifiying candidate # 1545044215.188 * * * * [misc]progress: [ 76 / 139 ] simplifiying candidate # 1545044215.188 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1545044215.189 * * [misc]simplify: iters left: 5 (9 enodes) 1545044215.190 * * [misc]simplify: iters left: 4 (11 enodes) 1545044215.191 * * [misc]simplify: iters left: 3 (13 enodes) 1545044215.193 * * [misc]simplify: iters left: 2 (14 enodes) 1545044215.195 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1545044215.195 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) (cbrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1545044215.196 * * * * [misc]progress: [ 77 / 139 ] simplifiying candidate # 1545044215.196 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1545044215.196 * * [misc]simplify: iters left: 5 (9 enodes) 1545044215.197 * * [misc]simplify: iters left: 4 (11 enodes) 1545044215.199 * * [misc]simplify: iters left: 3 (13 enodes) 1545044215.200 * * [misc]simplify: iters left: 2 (14 enodes) 1545044215.202 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1545044215.202 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) (sqrt (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1545044215.202 * * * * [misc]progress: [ 78 / 139 ] simplifiying candidate # 1545044215.203 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n 1/2)) 1545044215.203 * * [misc]simplify: iters left: 4 (7 enodes) 1545044215.204 * * [misc]simplify: iters left: 3 (8 enodes) 1545044215.206 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt n)) 1545044215.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k)))) (/ (cbrt (sqrt k)) (sqrt n)))) 1545044215.206 * * * * [misc]progress: [ 79 / 139 ] simplifiying candidate # 1545044215.207 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.207 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.210 * * [misc]simplify: iters left: 4 (12 enodes) 1545044215.213 * * [misc]simplify: iters left: 3 (14 enodes) 1545044215.217 * * [misc]simplify: iters left: 2 (15 enodes) 1545044215.220 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))) 1545044215.220 * * * * [misc]progress: [ 80 / 139 ] simplifiying candidate # 1545044215.220 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.220 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.222 * * [misc]simplify: iters left: 4 (12 enodes) 1545044215.224 * * [misc]simplify: iters left: 3 (14 enodes) 1545044215.226 * * [misc]simplify: iters left: 2 (15 enodes) 1545044215.228 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2))))) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))) 1545044215.228 * * * * [misc]progress: [ 81 / 139 ] simplifiying candidate # 1545044215.228 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1545044215.228 * * [misc]simplify: iters left: 4 (9 enodes) 1545044215.229 * * [misc]simplify: iters left: 3 (11 enodes) 1545044215.231 * * [misc]simplify: iters left: 2 (13 enodes) 1545044215.233 * * [misc]simplify: iters left: 1 (14 enodes) 1545044215.235 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1545044215.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))))) 1545044215.235 * * * * [misc]progress: [ 82 / 139 ] simplifiying candidate # 1545044215.235 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n 1/2)) 1545044215.235 * * [misc]simplify: iters left: 4 (7 enodes) 1545044215.236 * * [misc]simplify: iters left: 3 (8 enodes) 1545044215.237 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt n)) 1545044215.237 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (pow n (* -1/2 k)))) (/ (sqrt (sqrt k)) (sqrt n)))) 1545044215.237 * * * * [misc]progress: [ 83 / 139 ] simplifiying candidate # 1545044215.237 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.237 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.239 * * [misc]simplify: iters left: 4 (12 enodes) 1545044215.240 * * [misc]simplify: iters left: 3 (14 enodes) 1545044215.242 * * [misc]simplify: iters left: 2 (15 enodes) 1545044215.244 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.244 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))))) 1545044215.244 * * * * [misc]progress: [ 84 / 139 ] simplifiying candidate # 1545044215.244 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.245 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.246 * * [misc]simplify: iters left: 4 (12 enodes) 1545044215.248 * * [misc]simplify: iters left: 3 (14 enodes) 1545044215.252 * * [misc]simplify: iters left: 2 (15 enodes) 1545044215.256 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.256 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))))) 1545044215.256 * * * * [misc]progress: [ 85 / 139 ] simplifiying candidate # 1545044215.256 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1545044215.256 * * [misc]simplify: iters left: 4 (9 enodes) 1545044215.259 * * [misc]simplify: iters left: 3 (11 enodes) 1545044215.262 * * [misc]simplify: iters left: 2 (13 enodes) 1545044215.266 * * [misc]simplify: iters left: 1 (14 enodes) 1545044215.269 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1545044215.269 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))))) 1545044215.269 * * * * [misc]progress: [ 86 / 139 ] simplifiying candidate # 1545044215.270 * [enter]simplify: Simplifying (/ (sqrt k) (pow n 1/2)) 1545044215.270 * * [misc]simplify: iters left: 3 (6 enodes) 1545044215.272 * * [misc]simplify: iters left: 2 (7 enodes) 1545044215.274 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt n)) 1545044215.274 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ 1 (pow n (* -1/2 k)))) (/ (sqrt k) (sqrt n)))) 1545044215.274 * * * * [misc]progress: [ 87 / 139 ] simplifiying candidate # 1545044215.274 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.274 * * [misc]simplify: iters left: 5 (9 enodes) 1545044215.277 * * [misc]simplify: iters left: 4 (11 enodes) 1545044215.280 * * [misc]simplify: iters left: 3 (13 enodes) 1545044215.284 * * [misc]simplify: iters left: 2 (14 enodes) 1545044215.288 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.288 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))))) 1545044215.288 * * * * [misc]progress: [ 88 / 139 ] simplifiying candidate # 1545044215.289 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.289 * * [misc]simplify: iters left: 5 (9 enodes) 1545044215.292 * * [misc]simplify: iters left: 4 (11 enodes) 1545044215.296 * * [misc]simplify: iters left: 3 (13 enodes) 1545044215.300 * * [misc]simplify: iters left: 2 (14 enodes) 1545044215.304 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.304 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ 1 (sqrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))))) 1545044215.304 * * * * [misc]progress: [ 89 / 139 ] simplifiying candidate # 1545044215.305 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1545044215.305 * * [misc]simplify: iters left: 4 (8 enodes) 1545044215.307 * * [misc]simplify: iters left: 3 (10 enodes) 1545044215.310 * * [misc]simplify: iters left: 2 (12 enodes) 1545044215.314 * * [misc]simplify: iters left: 1 (13 enodes) 1545044215.318 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1545044215.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ 1 1)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044215.318 * * * * [misc]progress: [ 90 / 139 ] simplifiying candidate # 1545044215.318 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1545044215.319 * * [misc]simplify: iters left: 4 (8 enodes) 1545044215.321 * * [misc]simplify: iters left: 3 (10 enodes) 1545044215.324 * * [misc]simplify: iters left: 2 (12 enodes) 1545044215.327 * * [misc]simplify: iters left: 1 (13 enodes) 1545044215.331 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1545044215.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044215.331 * * * * [misc]progress: [ 91 / 139 ] simplifiying candidate # 1545044215.331 * [enter]simplify: Simplifying (/ 1 (pow n (fma -1/2 k 1/2))) 1545044215.331 * * [misc]simplify: iters left: 4 (8 enodes) 1545044215.334 * * [misc]simplify: iters left: 3 (12 enodes) 1545044215.337 * * [misc]simplify: iters left: 2 (14 enodes) 1545044215.341 * * [misc]simplify: iters left: 1 (15 enodes) 1545044215.344 * [exit]simplify: Simplified to (/ 1 (pow n (fma -1/2 k 1/2))) 1545044215.344 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (sqrt k)) (/ 1 (pow n (fma -1/2 k 1/2))))) 1545044215.344 * * * * [misc]progress: [ 92 / 139 ] simplifiying candidate # 1545044215.345 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1545044215.345 * * [misc]simplify: iters left: 2 (6 enodes) 1545044215.346 * * [misc]simplify: iters left: 1 (8 enodes) 1545044215.350 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1545044215.350 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow 2 (fma -1/2 k 1/2)) (/ (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2))))) 1545044215.350 * * * * [misc]progress: [ 93 / 139 ] simplifiying candidate # 1545044215.350 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1545044215.350 * * [misc]simplify: iters left: 2 (6 enodes) 1545044215.352 * * [misc]simplify: iters left: 1 (8 enodes) 1545044215.356 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545044215.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (sqrt k)) (pow n (fma -1/2 k 1/2)))) 1545044215.356 * * * * [misc]progress: [ 94 / 139 ] simplifiying candidate # 1545044215.356 * * * * [misc]progress: [ 95 / 139 ] simplifiying candidate # 1545044215.356 * * * * [misc]progress: [ 96 / 139 ] simplifiying candidate # 1545044215.356 * * * * [misc]progress: [ 97 / 139 ] simplifiying candidate # 1545044215.356 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log n) (fma -1/2 k 1/2))) 1545044215.357 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.359 * * [misc]simplify: iters left: 4 (15 enodes) 1545044215.364 * * [misc]simplify: iters left: 3 (30 enodes) 1545044215.377 * * [misc]simplify: iters left: 2 (69 enodes) 1545044215.404 * * [misc]simplify: iters left: 1 (124 enodes) 1545044215.440 * [exit]simplify: Simplified to (fma (fma 1/2 k -1/2) (log n) (log (sqrt k))) 1545044215.440 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (exp (fma (fma 1/2 k -1/2) (log n) (log (sqrt k)))))) 1545044215.441 * * * * [misc]progress: [ 98 / 139 ] simplifiying candidate # 1545044215.441 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow n (fma -1/2 k 1/2)))) 1545044215.441 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.442 * * [misc]simplify: iters left: 4 (16 enodes) 1545044215.445 * * [misc]simplify: iters left: 3 (24 enodes) 1545044215.449 * * [misc]simplify: iters left: 2 (41 enodes) 1545044215.457 * * [misc]simplify: iters left: 1 (94 enodes) 1545044215.486 * [exit]simplify: Simplified to (fma (fma 1/2 k -1/2) (log n) (log (sqrt k))) 1545044215.486 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (exp (fma (fma 1/2 k -1/2) (log n) (log (sqrt k)))))) 1545044215.486 * * * * [misc]progress: [ 99 / 139 ] simplifiying candidate # 1545044215.486 * * * * [misc]progress: [ 100 / 139 ] simplifiying candidate # 1545044215.486 * * * * [misc]progress: [ 101 / 139 ] simplifiying candidate # 1545044215.486 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1545044215.486 * * [misc]simplify: iters left: 6 (12 enodes) 1545044215.490 * * [misc]simplify: iters left: 5 (23 enodes) 1545044215.497 * * [misc]simplify: iters left: 4 (55 enodes) 1545044215.516 * * [misc]simplify: iters left: 3 (115 enodes) 1545044215.558 * * [misc]simplify: iters left: 2 (198 enodes) 1545044215.628 * * [misc]simplify: iters left: 1 (284 enodes) 1545044215.756 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2)))) 1545044215.756 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (cbrt (/ (/ (* k (sqrt k)) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))))))) 1545044215.756 * * * * [misc]progress: [ 102 / 139 ] simplifiying candidate # 1545044215.756 * * * * [misc]progress: [ 103 / 139 ] simplifiying candidate # 1545044215.756 * * * * [misc]progress: [ 104 / 139 ] simplifiying candidate # 1545044215.756 * * * * [misc]progress: [ 105 / 139 ] simplifiying candidate # 1545044215.756 * * * * [misc]progress: [ 106 / 139 ] simplifiying candidate # 1545044215.756 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k))) 1545044215.756 * * [misc]simplify: iters left: 6 (9 enodes) 1545044215.758 * * [misc]simplify: iters left: 5 (12 enodes) 1545044215.760 * * [misc]simplify: iters left: 4 (14 enodes) 1545044215.762 * * [misc]simplify: iters left: 3 (15 enodes) 1545044215.764 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (/ (pow n (* -1/2 k)) (cbrt (sqrt k)))) 1545044215.764 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (cbrt (sqrt k)) (/ (pow n (* -1/2 k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow n 1/2))))) 1545044215.764 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n 1/2)) 1545044215.764 * * [misc]simplify: iters left: 4 (7 enodes) 1545044215.765 * * [misc]simplify: iters left: 3 (8 enodes) 1545044215.766 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt n)) 1545044215.766 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (* -1/2 k))) (/ (cbrt (sqrt k)) (sqrt n))))) 1545044215.766 * * * * [misc]progress: [ 107 / 139 ] simplifiying candidate # 1545044215.767 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) 1545044215.767 * * [misc]simplify: iters left: 6 (12 enodes) 1545044215.769 * * [misc]simplify: iters left: 5 (20 enodes) 1545044215.772 * * [misc]simplify: iters left: 4 (31 enodes) 1545044215.777 * * [misc]simplify: iters left: 3 (35 enodes) 1545044215.784 * * [misc]simplify: iters left: 2 (38 enodes) 1545044215.795 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow n (fma k -1/2 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma k -1/2 1/2))))) 1545044215.795 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow n (fma k -1/2 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma k -1/2 1/2))))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))))) 1545044215.795 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.795 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.800 * * [misc]simplify: iters left: 4 (12 enodes) 1545044215.803 * * [misc]simplify: iters left: 3 (14 enodes) 1545044215.807 * * [misc]simplify: iters left: 2 (15 enodes) 1545044215.811 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.811 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (cbrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))))) 1545044215.812 * * * * [misc]progress: [ 108 / 139 ] simplifiying candidate # 1545044215.812 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.812 * * [misc]simplify: iters left: 6 (11 enodes) 1545044215.815 * * [misc]simplify: iters left: 5 (15 enodes) 1545044215.820 * * [misc]simplify: iters left: 4 (19 enodes) 1545044215.825 * * [misc]simplify: iters left: 3 (21 enodes) 1545044215.831 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma k -1/2 1/2)))) 1545044215.831 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma k -1/2 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))))) 1545044215.832 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.832 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.835 * * [misc]simplify: iters left: 4 (12 enodes) 1545044215.839 * * [misc]simplify: iters left: 3 (14 enodes) 1545044215.843 * * [misc]simplify: iters left: 2 (15 enodes) 1545044215.848 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.848 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (fma -1/2 k 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))))) 1545044215.848 * * * * [misc]progress: [ 109 / 139 ] simplifiying candidate # 1545044215.849 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545044215.849 * * [misc]simplify: iters left: 6 (6 enodes) 1545044215.851 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.855 * * [misc]simplify: iters left: 4 (16 enodes) 1545044215.859 * * [misc]simplify: iters left: 3 (18 enodes) 1545044215.863 * * [misc]simplify: iters left: 2 (23 enodes) 1545044215.868 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545044215.868 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))))) 1545044215.869 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1545044215.869 * * [misc]simplify: iters left: 4 (9 enodes) 1545044215.871 * * [misc]simplify: iters left: 3 (11 enodes) 1545044215.874 * * [misc]simplify: iters left: 2 (13 enodes) 1545044215.878 * * [misc]simplify: iters left: 1 (14 enodes) 1545044215.880 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1545044215.881 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (fma -1/2 k 1/2)))))) 1545044215.881 * * * * [misc]progress: [ 110 / 139 ] simplifiying candidate # 1545044215.881 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (* -1/2 k))) 1545044215.881 * * [misc]simplify: iters left: 5 (8 enodes) 1545044215.882 * * [misc]simplify: iters left: 4 (9 enodes) 1545044215.883 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (* -1/2 k))) 1545044215.883 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (sqrt (sqrt k)) (pow n (* -1/2 k))) (/ (sqrt (sqrt k)) (pow n 1/2))))) 1545044215.883 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n 1/2)) 1545044215.883 * * [misc]simplify: iters left: 4 (7 enodes) 1545044215.885 * * [misc]simplify: iters left: 3 (8 enodes) 1545044215.886 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt n)) 1545044215.886 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (sqrt (sqrt k)) (pow n (* -1/2 k))) (/ (sqrt (sqrt k)) (sqrt n))))) 1545044215.886 * * * * [misc]progress: [ 111 / 139 ] simplifiying candidate # 1545044215.886 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) 1545044215.886 * * [misc]simplify: iters left: 6 (11 enodes) 1545044215.888 * * [misc]simplify: iters left: 5 (15 enodes) 1545044215.890 * * [misc]simplify: iters left: 4 (17 enodes) 1545044215.892 * * [misc]simplify: iters left: 3 (18 enodes) 1545044215.895 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) 1545044215.895 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))))) 1545044215.895 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.895 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.896 * * [misc]simplify: iters left: 4 (12 enodes) 1545044215.898 * * [misc]simplify: iters left: 3 (14 enodes) 1545044215.900 * * [misc]simplify: iters left: 2 (15 enodes) 1545044215.902 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.902 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt (sqrt k)) (cbrt (pow n (fma -1/2 k 1/2))))))) 1545044215.902 * * * * [misc]progress: [ 112 / 139 ] simplifiying candidate # 1545044215.902 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.902 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.904 * * [misc]simplify: iters left: 4 (12 enodes) 1545044215.905 * * [misc]simplify: iters left: 3 (14 enodes) 1545044215.907 * * [misc]simplify: iters left: 2 (15 enodes) 1545044215.909 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.909 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))))) 1545044215.910 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.910 * * [misc]simplify: iters left: 5 (10 enodes) 1545044215.911 * * [misc]simplify: iters left: 4 (12 enodes) 1545044215.914 * * [misc]simplify: iters left: 3 (14 enodes) 1545044215.918 * * [misc]simplify: iters left: 2 (15 enodes) 1545044215.922 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.922 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (fma -1/2 k 1/2))))))) 1545044215.922 * * * * [misc]progress: [ 113 / 139 ] simplifiying candidate # 1545044215.923 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545044215.923 * * [misc]simplify: iters left: 4 (5 enodes) 1545044215.924 * * [misc]simplify: iters left: 3 (7 enodes) 1545044215.925 * * [misc]simplify: iters left: 2 (9 enodes) 1545044215.926 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545044215.926 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))))) 1545044215.926 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1545044215.926 * * [misc]simplify: iters left: 4 (9 enodes) 1545044215.928 * * [misc]simplify: iters left: 3 (11 enodes) 1545044215.929 * * [misc]simplify: iters left: 2 (13 enodes) 1545044215.931 * * [misc]simplify: iters left: 1 (14 enodes) 1545044215.933 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2))) 1545044215.933 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow n (fma -1/2 k 1/2)))))) 1545044215.933 * * * * [misc]progress: [ 114 / 139 ] simplifiying candidate # 1545044215.933 * [enter]simplify: Simplifying (/ 1 (pow n (* -1/2 k))) 1545044215.933 * * [misc]simplify: iters left: 5 (7 enodes) 1545044215.934 * * [misc]simplify: iters left: 4 (10 enodes) 1545044215.936 * [exit]simplify: Simplified to (/ 1 (pow n (* -1/2 k))) 1545044215.936 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ 1 (pow n (* -1/2 k))) (/ (sqrt k) (pow n 1/2))))) 1545044215.936 * [enter]simplify: Simplifying (/ (sqrt k) (pow n 1/2)) 1545044215.936 * * [misc]simplify: iters left: 3 (6 enodes) 1545044215.937 * * [misc]simplify: iters left: 2 (7 enodes) 1545044215.938 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt n)) 1545044215.938 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ 1 (pow n (* -1/2 k))) (/ (sqrt k) (sqrt n))))) 1545044215.938 * * * * [misc]progress: [ 115 / 139 ] simplifiying candidate # 1545044215.938 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) 1545044215.939 * * [misc]simplify: iters left: 6 (10 enodes) 1545044215.940 * * [misc]simplify: iters left: 5 (16 enodes) 1545044215.942 * * [misc]simplify: iters left: 4 (18 enodes) 1545044215.945 * * [misc]simplify: iters left: 3 (19 enodes) 1545044215.947 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) 1545044215.947 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))))) 1545044215.947 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.948 * * [misc]simplify: iters left: 5 (9 enodes) 1545044215.949 * * [misc]simplify: iters left: 4 (11 enodes) 1545044215.951 * * [misc]simplify: iters left: 3 (13 enodes) 1545044215.952 * * [misc]simplify: iters left: 2 (14 enodes) 1545044215.954 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2)))) 1545044215.954 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ 1 (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))))) 1545044215.954 * * * * [misc]progress: [ 116 / 139 ] simplifiying candidate # 1545044215.954 * [enter]simplify: Simplifying (/ 1 (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.954 * * [misc]simplify: iters left: 5 (9 enodes) 1545044215.956 * * [misc]simplify: iters left: 4 (13 enodes) 1545044215.958 * * [misc]simplify: iters left: 3 (15 enodes) 1545044215.960 * * [misc]simplify: iters left: 2 (16 enodes) 1545044215.962 * [exit]simplify: Simplified to (/ 1 (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.962 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ 1 (sqrt (pow n (fma -1/2 k 1/2)))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))))) 1545044215.962 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.962 * * [misc]simplify: iters left: 5 (9 enodes) 1545044215.963 * * [misc]simplify: iters left: 4 (11 enodes) 1545044215.965 * * [misc]simplify: iters left: 3 (13 enodes) 1545044215.966 * * [misc]simplify: iters left: 2 (14 enodes) 1545044215.968 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))) 1545044215.968 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* (/ 1 (sqrt (pow n (fma -1/2 k 1/2)))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))))) 1545044215.968 * * * * [misc]progress: [ 117 / 139 ] simplifiying candidate # 1545044215.969 * [enter]simplify: Simplifying (/ 1 1) 1545044215.969 * * [misc]simplify: iters left: 2 (2 enodes) 1545044215.969 * * [misc]simplify: iters left: 1 (4 enodes) 1545044215.969 * [exit]simplify: Simplified to 1 1545044215.969 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* 1 (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1545044215.970 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1545044215.970 * * [misc]simplify: iters left: 4 (8 enodes) 1545044215.971 * * [misc]simplify: iters left: 3 (10 enodes) 1545044215.972 * * [misc]simplify: iters left: 2 (12 enodes) 1545044215.974 * * [misc]simplify: iters left: 1 (13 enodes) 1545044215.976 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (fma -1/2 k 1/2))) 1545044215.976 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (* 1 (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1545044215.976 * * * * [misc]progress: [ 118 / 139 ] simplifiying candidate # 1545044215.976 * * * * [misc]progress: [ 119 / 139 ] simplifiying candidate # 1545044215.976 * * * * [misc]progress: [ 120 / 139 ] simplifiying candidate # 1545044215.976 * * * * [misc]progress: [ 121 / 139 ] simplifiying candidate # 1545044215.976 * [enter]simplify: Simplifying (pow n 1/2) 1545044215.976 * * [misc]simplify: iters left: 1 (3 enodes) 1545044215.977 * [exit]simplify: Simplified to (sqrt n) 1545044215.977 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (/ (sqrt k) (pow n (* -1/2 k))) (sqrt n)))) 1545044215.977 * * * * [misc]progress: [ 122 / 139 ] simplifiying candidate # 1545044215.977 * [enter]simplify: Simplifying (cbrt (pow n (fma -1/2 k 1/2))) 1545044215.977 * * [misc]simplify: iters left: 3 (7 enodes) 1545044215.978 * * [misc]simplify: iters left: 2 (9 enodes) 1545044215.979 * * [misc]simplify: iters left: 1 (11 enodes) 1545044215.981 * [exit]simplify: Simplified to (cbrt (pow n (fma k -1/2 1/2))) 1545044215.981 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (/ (sqrt k) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (cbrt (pow n (fma k -1/2 1/2)))))) 1545044215.981 * * * * [misc]progress: [ 123 / 139 ] simplifiying candidate # 1545044215.981 * [enter]simplify: Simplifying (sqrt (pow n (fma -1/2 k 1/2))) 1545044215.981 * * [misc]simplify: iters left: 3 (7 enodes) 1545044215.982 * * [misc]simplify: iters left: 2 (9 enodes) 1545044215.983 * * [misc]simplify: iters left: 1 (11 enodes) 1545044215.985 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1545044215.985 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2)))) (sqrt (pow n (fma k -1/2 1/2)))))) 1545044215.985 * * * * [misc]progress: [ 124 / 139 ] simplifiying candidate # 1545044215.985 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1545044215.985 * * [misc]simplify: iters left: 2 (6 enodes) 1545044215.986 * * [misc]simplify: iters left: 1 (8 enodes) 1545044215.988 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545044215.988 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (/ (sqrt k) 1) (pow n (fma -1/2 k 1/2))))) 1545044215.988 * * * * [misc]progress: [ 125 / 139 ] simplifiying candidate # 1545044215.988 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545044215.988 * * [misc]simplify: iters left: 4 (4 enodes) 1545044215.988 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545044215.988 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k)))))) 1545044215.989 * * * * [misc]progress: [ 126 / 139 ] simplifiying candidate # 1545044215.989 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545044215.989 * * [misc]simplify: iters left: 2 (3 enodes) 1545044215.989 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545044215.989 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt (sqrt k)) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k)))))) 1545044215.989 * * * * [misc]progress: [ 127 / 139 ] simplifiying candidate # 1545044215.989 * * * * [misc]progress: [ 128 / 139 ] simplifiying candidate # 1545044215.990 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545044215.990 * * [misc]simplify: iters left: 6 (18 enodes) 1545044215.993 * * [misc]simplify: iters left: 5 (39 enodes) 1545044216.001 * * [misc]simplify: iters left: 4 (119 enodes) 1545044216.048 * * [misc]simplify: iters left: 3 (334 enodes) 1545044216.188 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1545044216.188 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n)))))) 1545044216.188 * * * * [misc]progress: [ 129 / 139 ] simplifiying candidate # 1545044216.188 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545044216.188 * * [misc]simplify: iters left: 6 (12 enodes) 1545044216.191 * * [misc]simplify: iters left: 5 (28 enodes) 1545044216.197 * * [misc]simplify: iters left: 4 (67 enodes) 1545044216.211 * * [misc]simplify: iters left: 3 (180 enodes) 1545044216.338 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545044216.338 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044216.339 * * * * [misc]progress: [ 130 / 139 ] simplifiying candidate # 1545044216.339 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545044216.339 * * [misc]simplify: iters left: 6 (12 enodes) 1545044216.344 * * [misc]simplify: iters left: 5 (22 enodes) 1545044216.352 * * [misc]simplify: iters left: 4 (52 enodes) 1545044216.365 * * [misc]simplify: iters left: 3 (149 enodes) 1545044216.447 * * [misc]simplify: iters left: 2 (453 enodes) 1545044217.255 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1545044217.255 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma k -1/2 1/2))))) 1545044217.256 * * * * [misc]progress: [ 131 / 139 ] simplifiying candidate # 1545044217.256 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545044217.256 * * [misc]simplify: iters left: 6 (18 enodes) 1545044217.259 * * [misc]simplify: iters left: 5 (39 enodes) 1545044217.273 * * [misc]simplify: iters left: 4 (110 enodes) 1545044217.328 * * [misc]simplify: iters left: 3 (321 enodes) 1545044217.567 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1545044217.567 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI)))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044217.567 * * * * [misc]progress: [ 132 / 139 ] simplifiying candidate # 1545044217.567 * [enter]simplify: Simplifying (pow PI (fma -1/2 k 1/2)) 1545044217.567 * * [misc]simplify: iters left: 2 (6 enodes) 1545044217.568 * * [misc]simplify: iters left: 1 (8 enodes) 1545044217.569 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1545044217.569 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044217.569 * * * * [misc]progress: [ 133 / 139 ] simplifiying candidate # 1545044217.569 * [enter]simplify: Simplifying (exp (* (log PI) (fma -1/2 k 1/2))) 1545044217.570 * * [misc]simplify: iters left: 4 (8 enodes) 1545044217.571 * * [misc]simplify: iters left: 3 (14 enodes) 1545044217.573 * * [misc]simplify: iters left: 2 (22 enodes) 1545044217.576 * * [misc]simplify: iters left: 1 (41 enodes) 1545044217.584 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1545044217.584 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545044217.584 * * * * [misc]progress: [ 134 / 139 ] simplifiying candidate # 1545044217.584 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545044217.584 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044217.584 * * * * [misc]progress: [ 135 / 139 ] simplifiying candidate # 1545044217.584 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1545044217.584 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044217.584 * * * * [misc]progress: [ 136 / 139 ] simplifiying candidate # 1545044217.584 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1545044217.584 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545044217.585 * * * * [misc]progress: [ 137 / 139 ] simplifiying candidate # 1545044217.585 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 (pow k 2)) (- (+ (* +nan.0 k) (- (* +nan.0 (* n k))))))))) 1545044217.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) +nan.0)) 1545044217.585 * * * * [misc]progress: [ 138 / 139 ] simplifiying candidate # 1545044217.585 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))))))))) 1545044217.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) +nan.0)) 1545044217.585 * * * * [misc]progress: [ 139 / 139 ] simplifiying candidate # 1545044217.585 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))))))))) 1545044217.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) +nan.0)) 1545044217.585 * * * [misc]progress: adding candidates to table 1545044219.903 * [misc]progress: [Phase 3 of 3] Extracting. 1545044219.903 * * [misc]regime: Finding splitpoints for: (# # # # # # # #) 1545044219.905 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545044219.905 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # #) 1545044220.000 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # #) 1545044220.083 * * * [misc]regime: Found split indices: #